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1. UNIT 1 Force, Motion, and Energy
2. 2
3. 3 FORCES AND MOTION Overview In Grade 7, you described an object's motion in terms of displacement, speed or velocity, and acceleration. You performed activities wherein you interpreted or created visual representations of the motion of objects such as tape charts and motion graphs. The concepts were arrived at by studying examples of uniform motion or objects moving in straight line at constant speed. Then you were also introduced to non-uniform motion where the object covers unequal distances or displacements at equal intervals of time. When a jeepney starts moving, it speeds up. When a jeepney nears a stop sign, it slows down. The jeepney is covering different displacements at equal time intervals and hence it is not moving at a uniform velocity. In other words, the jeepney is accelerating. Most of the motions we come across in our daily life are non-uniform and the primary cause of changes in motion is FORCE. In this module, you will learn about the effects of force on motion. Newton's Three Laws of Motion – the central organizing principle of classical mechanics – will be presented and applied to real-life situations. At the end of Module 1, you will be able to answer the following key questions: Do forces always result in motion? What are the conditions for an object to stay at rest, to keep moving at constant velocity, or to move with increasing velocity? How is force related to acceleration? Unit 1 MODULE 1 Suggested time allotment: 8 to 10 hours
4. 4 In the lower grades, you learned that an object can be moved by pushing or pulling. In physics, this push and pull is referred to as force (F). Consider a ball on top of a table as shown in Figure 1. If someone pushes the ball, it will move or roll across the surface of the table (Figure 1a). And when it is again pushed in the direction of its motion, it moves farther and even faster (Figure 1b). But when you push it on the other side instead, opposite to the direction of its motion, the ball may slow down and eventually stop (Figure 1c). Lastly, when you push it in a direction different from its original direction of motion, the ball also changes its direction (Figure 1d). Force therefore can make objects move, move faster, stop, or change their direction of motion. But is this always the case? Can force always bring about change in the state of motion of an object? Balanced and Unbalanced Forces An object may be acted upon by several forces. For example, an object may be pushed and pulled in different directions at the same time. To identify which of these forces would be able to cause change in the motion of the object, it is important to identify all the forces acting on it. To accurately describe the forces acting on an object, it is important for you to be familiar first with the following terms: magnitude, direction, point of application, and line of action. Forces are described in terms of these properties. Magnitude refers to the size or strength of the force. It is commonly expressed in Newton (N). Consider the diagram in Figure 2 showing a force, represented by the arrow, acting on a ball. The direction of the arrow indicates the direction of the force while the a. b. Figure 1. Effect of force on an object c. d.
5. 5 length of the arrow represents the relative magnitude of the force. If the force applied on the ball is doubled, the length of the arrow is increased two times. The line of action is the straight line passing through the point of application and is parallel to the direction of the force. Activity 1 Forces on objects at rest Objectives: After performing this activity, you should be able to identify the forces acting on an object at rest. Materials: pen pair of scissors string book Procedure Situation 1 1. Hang a pen by a piece of string as shown in Figure 3a. Q1. Is the pen at rest or in motion? Figure 3a. Hanging pen Figure 2. Force acting on a ball Line of action Point of application Line of action F Points to the direction of the force
6. 6 Q2. Are there forces acting on the pen? If yes, draw the forces. You may use arrows to represent these forces. 2. Cut the string with a pair of scissors. Q3. What happens to the pen? What could have caused the pen's motion? Situation 2 1. Place a book on top of a table as shown in Figure 3b. Q4. Is the book at rest or in motion? Q5. Are there forces acting on the book? If yes, draw the forces acting on the book. 2. Let one member of your group push the book in one direction and another member push it in the opposite direction at the same time with the same amount of push (force). Q6. Did the book move? How will you make the book move? In the situations above, both the pen and the book are at rest. But this does not mean that there are no forces acting on them. So what causes them to stay in place? Consider the next activity. Activity 2 Balance of forces Objectives: After performing this activity, you should be able to: 1. examine the conditions when two forces balance, and 2. explain the effect of balanced forces on the state of motion of an object. Figure 3b. Book on a table
7. 7 Materials: 4 sets spring balance 1 piece of sturdy cardboard threads Procedure: 1. Bore four holes around the cardboard as shown. Label the holes A, B, C, and D. 2. Attach threads to the holes. 3. Attach a spring balance to thread A and another one to thread D. Hold the cardboard to keep it still. Pull the balances along the same line such that when released, the cardboard remains at rest. 4. When the cardboard is at rest, examine the magnitudes and directions of the two forces by reading the spring balance. 5. Draw the line of action of the forces acting on the cardboard. Extend the lines until they intersect. Mark the point of intersection and draw arrows starting at this point to represent the forces acting on the cardboard. 6. Repeat steps 3 to 5 for pair B and C. Q7. When the cardboard is at rest, how do the magnitudes and directions of the pair of forces acting on it compare? 7. Now here is a challenge. Find out the directions of all the forces such that when all the threads were pulled with the same amount, the cardboard will not move or rotate when released. Q8. If you draw the lines of action of all the forces acting on the board and extend the lines, what will you get? ___________________________________________________________________ Figure 4
8. 8 The diagram in Figure 5 shows the forces acting on the a) pen and b) book in Activity 1. You learned in lower grades that all objects fall down because gravity pulls on them towards the center of the earth. But what makes the pen and the book stay at rest? The pen stays in place because of another force that acts on it that is supplied by the string which we refer to in physics as tension force (T). The book, on the other hand, stays at rest because of the upward push exerted on it by the table which we refer to as normal force (Fn). Both the tension force and normal force counteract the pull of gravity (Fg) that acts on the objects. Study the diagram. How do the lengths of the arrows in each case compare? How do the magnitudes and directions of the pair of forces compare? In both cases, we can infer that the objects remained at rest because the forces acting on them are equal in magnitude and in opposite directions and they lie along the same line of action (Figure 5). The forces are balanced. This was also demonstrated in Activity 2. Also, if you try out step 7 in Activity 2, you will find that the lines of action of the four forces intersect through a single point. This also explains why the body does not move or rotate. Unbalanced Forces If you cut the string connected to the pen, the pen will fall. Or if you push the book on one side across the table, the book will move but will not continue moving if you don't continuously push it. The pen falls down because there is no more force acting on it to counteract the pull of gravity. The book moves because of the push that you applied. In other words, the forces acting on these objects are no longer Figure 5: Force diagram Force of gravity Normal force Book (b) Book(a) Pen Force of gravity Tension force Pen Line of action
9. 9 balanced. If an object initially at rest is under an unbalanced force, it moves in the direction of the unbalanced force. How about if the object is already in motion, how will the unbalanced force affect its motion? Place a ball on the desk then push it gently to one side. Observe the motion of the ball as it rolls down the desk. What makes the ball stop rolling after sometime? Again, you need to identify the forces acting on the ball. You can see in Fig. 6 that the force of gravity and the normal force are again acting on the ball. But these forces are balanced, and so the ball stays on top of the desk. However, there is another force that acts on the ball along the horizontal line or along the force that set the ball in motion. Do you still remember your lesson on friction in the lower grades? You learned that friction is a force that acts between surfaces that are in contact with one another. Friction in general acts opposite the direction of motion. In the case of the rolling ball, the frictional force acts between the surfaces of the ball and the desk and slows down the motion of the ball. As the ball rolls to the right as shown in Figure 6, friction acts to the left to retard its motion. Since you did not push the ball continuously there is no force present to balance the force of friction. So the ball slowed down and eventually stopped. Again, due to the unbalanced force, the object changes its state of motion hence we say that it accelerates. Note that acceleration is not just an increase in velocity, but also a decrease in velocity. Combining Forces When we combine or add forces to determine the net or unbalanced force, we will limit our discussion to those forces which act along the same line of action. The algebraic signs + and – are used to indicate the direction of forces. Unlike signs are used for forces acting in opposite directions, like in the case of the book lying on Figure 6. Forces acting on a rolling ball Ff Fn Fg
10. 10 the table. The force of gravity (Fg) and normal force (Fn) are assigned opposite signs - Fn is given a positive (+) sign while Fg is given a negative (-) sign. If both Fg and Fn are given a magnitude value of 3 units, then the net force along this line (vertical) will be: Fnet = Fn + Fg = 3 units + (-3 units) = 0 If the sum of the forces equate to zero, they are considered balanced. If the algebraic sum is not equal to zero, the forces are not balanced. The non-zero sum is the net or unbalanced force. This unbalanced or net force would cause a change in a body's state of motion. Concept check: Study the illustrations and answer the questions that follow. 1. A boy and a girl are pulling a heavy crate at the same time with 10 units of force each. What is the net force acting on the object? 2. What if the boy and the girl pull the heavy crate at the same time in opposite directions with 10 units and 5 units of force respectively, what will be the net force on the object? Will the object move? To what direction will it move? 3. Suppose another girl pulls the heavy crate in with 5 units of force in the same direction as the girl, what will be the net force that will act on the object? Will the object move? Newton's Three Laws of Motion The principles behind Newton's laws of motion are very significant in understanding the motion of objects in our universe. Their applications are all around us. Understanding these laws therefore helps us understand why the things around us move or behave the way they do. Newton's First Law of Motion: Law of Inertia You learned that if the forces acting on an object at rest are balanced or if their algebraic sum equate to zero, the object stays at rest. This illustrates Newton's 10 units 10 units 10 units5 units 10 units5 units 5 units
11. 11 First Law of Motion, a principle that was primarily based on the works of Galileo. The following examples will help you understand this principle better. Activity 3 Investigating inertia Objective: At the end of this activity, you should be able to demonstrate Newton's first law of motion. Materials: empty glass 5-peso coins (5 pcs or more) cardboard plastic ruler 1 peso coin Procedure Coin Drop 1. Arrange the setup as shown in Figure 7. 2. Slowly pull the cardboard with your hand and observe what happens. 3. Arrange again the setup as shown. This time, quickly flick the cardboard with your finger. Observe again what happens. Q9. What happens when you slowly pulled the cardboard? Explain. Q10. What happens when you flicked the cardboard? Explain. Stack of Coins 4. Stack the coins on a flat level surface. 5. Quickly hit the coin at the bottom with the edge of the ruler. Q11. What happens when you hit the coin at the bottom? Why is this so? Figure 7. Cardboard and coin Coin Glass Cardboard
12. 12 The examples above demonstrate the property of an object to resist any change in its state of motion. In physics, this property is known as inertia. The coin dropped into the glass because it was trying to remain in its state of rest. How about in the second example? How will you explain the behavior of the coins when one of them was hit with an edge of a ruler? Measure of Inertia All objects have the tendency to resist changes in their state of motion or keep doing what they are doing. However, changing a body's state of motion depends on its inertia. A more massive object which has more inertia is more difficult to move from rest, slow down, speed up, or change its direction. Newton's first law states that an object at rest will stay at rest or an object in motion will stay in motion and travel in straight line, as long as no external net force acts on it. The object will change its state of motion only if there is unbalanced or net force acting upon it. Newton's Second Law of Motion: Law of Acceleration You learned that when the velocity of a moving body changes, we describe the motion as one with acceleration. Is there any relationship between acceleration and any unbalanced force that acts on the body? Find out in the next activity. Activity 4 Force and acceleration Objective: After this activity, you should be able to describe how the net force acting on an object affects its acceleration. Law of Inertia A body will remain at rest or move at constant velocity unless acted upon by an external net or unbalanced force.
13. 13 Procedure: Consider this situation below: A group of students conducted an experiment to determine the relationship between the force acting on the object and its acceleration. They used identical rubber bands to pull the cart as shown in Figure 8. They varied the number of rubber bands to vary the force acting on the cart. They started with 1 rubber band, then with 2, 3, and 4 rubber bands, making sure that they stretched the rubber bands to the same length every time they pull the cart. They used a ticker tape timer to determine the acceleration of the cart. A ticker tape was connected to the cart such that when the cart was pulled, the paper tape will be pulled through the timer. And as the paper tape was pulled through the timer, small dots are formed on the tape. Starting with the tape for 1 rubber band, they marked the first clear dot and every 6th dot thereafter and cut the tape along these points (Figure 9). Then they pasted the strips side by side in order on a graphing paper to produce the tape chart for F=1 unit. They did the same for the other tapes to produce tape charts for F=2 units, F=3 units, and F=4 units. A. Tape chart analysis 1. Obtain from your teacher the copies of the tape charts produced by the students for the 4 runs. Q12. Compare the charts. What similarities and differences have you noticed among them? The length of strip in each chart represents the total distance travelled by the cart over a time interval of 0.10 seconds. Recall that the total distance travelled over a unit time gives the average velocity of the moving body, or speed when travelling in straight line. Hence, each strip represents the average velocity of the cart over a time interval of 0.10 seconds. Figure 8. Cart pulled by rubber bands Figure 9: Sample tape
14. 14 2. Examine the tape chart for F=1 unit. Q13. What does the increase in the lengths of the strips suggest? What can you say about the motion of the cart - is it moving in uniform motion or is it accelerating? Is this also true with the other runs? Q14. How do you compare the increase in length of the strips in F= 1 unit? What does this tell you about the change in the velocity of the cart? Is this also true with the other tape charts? Q15. How do you compare the increase in length of the strips among the four tape charts? Which tape chart shows the greatest increase in the length of the strips? Which tape chart shows the least increase in the length of the strips? 3. Draw a line that passes through all the dots at the ends of the strips in F=1 unit. Do the same for the other tape charts. Q16. Describe the line formed. Does the same pattern exist for the other tape charts? B. Quantitative analysis You can also use the tape chart to compute for the average velocity (vave), change in velocity (∆v), and acceleration (a) of the cart for each run. Work only on the tape chart assigned to your group. Other groups will be working on the other charts. You may follow the simple instruction below. 4. Label each strip 1,2,3,4, and 5 as shown in Figure 10. 5. Compute for the average velocity of the cart over each time interval by measuring the length of the strip and dividing it by the time covered to travel such distance. Example, if the length of the strip is equal to 2.5 cm, then the average velocity during that time interval will be vave = 2.5 cm / 0.10sec = 25 cm/s Figure10: Sample tape chart 1 2 3 4 5
15. 15 Q17. How do the values of vave compare? What does this tell you about the motion of the cart? 6. Next, determine the difference in the average velocities (∆v) of the cart between two successive time intervals. Example, you can get the difference in the average velocities between strips 1 & 2, between strips 2 & 3, and so on. Q18. How do the computed values of ∆v compare? What does this tell you about the motion of the cart? 7. Recall that acceleration is defined as the change in velocity per unit of time. To get the acceleration of the cart, divide your computed values of ∆v in step 6 by 0.10 seconds, the unit of time. Have at least three computed values of acceleration. Q19. How do your computed values of acceleration compare? 8. Compute for the average acceleration aave. 9. Ask from the other groups the values of aave for the other tape charts. Record them all in Table 1 below. Table 1. Computed values of aave Tape chart # of rubber bands Computed aave F = 1 unit 1 F = 2 units 2 F = 3 units 3 F = 4 units 4 Q20. In this activity, the number of rubber bands represents the magnitude or amount of the force acting on the cart. How is acceleration of the cart related to the amount of force acting on it? If the net force acting on an object is constant, its velocity changes at a constant rate over time. Hence, it is considered to be moving with constant acceleration. In the tape chart, this is indicated by the uniform increase in length of the strips over time. But if the force acting on the object is changed, its acceleration will also change. In your previous activity, you noticed that as the number of rubber bands increases, the acceleration of the cart also increases. When the net force is doubled, acceleration is also doubled. When it is tripled, acceleration is also tripled. We can therefore say that at constant mass, the acceleration of an object is directly proportional to the magnitude of the unbalanced force F acting on it. This relationship can be mathematically expressed as:
16. 16 a = kF where k = mass What if the mass of the object is changed and the force is kept constant? Acceleration also varies with the mass of the object. As the mass of the object increases, with the same amount of force applied, its acceleration decreases. This relationship can also be expressed as: a = k (1/m) where k = net force If you combine these two relationships, you would come up with this relationship: This statement actually pertains to Newton's second law of motion or Law of Acceleration, because it is concerned with the relation of acceleration to mass and force. This can be expressed in equation form as: Acceleration = Net force / Mass a = Fnet /m This is often rearranged as: Fnet = ma Like any other quantity, force has a unit and is expressed in Newton (N). One Newton is defined as the amount of force required to give a 1-kg mass an acceleration of 1 m/s/s, or 1Newton (N) = 1kg/ms2 Sample mathematical problem: Suppose a ball of mass 0.60 kg is hit with a force of 12 N. Its acceleration will be: a = FNet m a = 12N 0.60kg a = 20m / s2 Law of Acceleration "The acceleration of an object is directly proportional to the magnitude of the net force acting on it and is inversely proportional to its mass."
17. 17 If the force is increased to 24 N for the same ball then, 2 40m/s 0.6kg 24N a  . Free Fall and Newton's Second Law of Motion Suppose you drop two books of different masses from the same height, which will hit the ground first? Think about this: If we use the law of acceleration, the heavier book must be the one to hit the ground first because gravity pulls on it with more force. But if we use the law of inertia, the lighter book must be the one to hit the ground first because of its lesser inertia. But if you actually try it out, you would find that they will both reach the floor at the same time. How come? Gravity acts on all objects on the earth's surface and causes them to accelerate when released. This acceleration, known as the acceleration due to gravity g, is the same for all objects on earth and is equal to 9.8 m/s2 . This means that when objects fall, their velocities increase by 9.8 m/s every 1 second. The books in the example above fall to the ground at the same rate (acceleration) even if they differ in mass. And since they were released from the same height at the same time, they will reach the ground at the same time. Circular Motion and Newton's Second Law of Motion Newton's Second Law was arrived at by studying straight line motion. Does this law apply to circular motion as well? Try to whirl an object tied to a string horizontally above your head. Then observe what happens if you release the object. How does it travel after release? You learned in Grade 7 that acceleration does not only refer to change in speed. It also refers to change in direction. In the case of circular motion, the whirling object accelerates not due to the change in its speed but to the change in the direction of its velocity. By Newton's second law of motion, a net force must be acting on accelerating objects. So where is this net force coming from? For the stone to move in a horizontal circle, what must you do? You have to pull the stone inward towards the center of the circular path, right? So the force comes from the string that
18. 18 pulls the object towards the center of its circular path (Figure 11). If you remove this force by either cutting or releasing the string, you will observe that the object will continue to move straight and fly off tangential to the path. This is the natural tendency of the object if there is no net force acting on it, according to the First Law of Motion. But because of the net force from the string, instead of going straight, the object accelerates inwards thereby covering a circular path. The object is said to be in uniform circular motion. Think about this! If the object in uniform circular motion is accelerating towards the center of the circle, why does it maintain a circular path at a constant radius and never get closer to the center of the circle? Newton's Third Law of Motion: Law of Interaction Activity 5 Action-reaction Objective: In this activity, you should be able to compare two interacting forces in terms of magnitude and direction. Figure 11. Object in circular motion F Object flies off tangentially Cut or release the string (Circular) path
19. 19 Materials: 2 spring balances string Procedure: 1. Connect 2 spring balances with their hooks. Ask your partner to hold one end of the balance while you hold the other end horizontally. Pull the spring balance while your partner just holds the other end. Record the reading on each balance. Q21. What is the reading on your balance and that of your partner? What do these values represent? Q22. How do you compare the direction of your partner's and your force? 2. Pull the spring balance harder. Be careful not to exceed the maximum reading on the spring balance. Q23. What is the reading on your balance and that of your partner? Q24. How do you explain your observation? 3. Attach one end of your spring balance to the wall, while the other end is connected to the second spring balance. Ask your partner to pull the spring balance. Observe the reading on each balance. Q25. What is the reading in each balance? Q26. Compare the direction of the forces exerted on the two ends of the connected spring balance. In the simplest sense, a force is a push or a pull. However, Newton realized that a force is not a thing in itself but part of mutual action, an interaction, between one thing and another. For example, consider the interaction between a hammer and a nail. A hammer exerts a force on the nail and drives it into a board. But this is not the only force present for there must also be a force exerted on the hammer to stop it in the process. What exerts this force? The nail does. Newton reasoned that while the hammer exerts a force on the nail, the nail exerts a force on the hammer. So, in the interaction between the hammer and the nail, there is a pair of forces, one acting on the nail and the other acting on the hammer. Such observations led Newton to his third law: the law of interaction.
20. 20 In Activity 5, you observed the similarities and differences between the interacting forces in terms of magnitude and direction. This relationship is stated in Newton's Third Law of Motion – Law of Interaction. Because the forces are equal in magnitude and opposite in direction, do you think they will cancel each other? In this case, no addition of forces will take place because these forces are acting on different bodies. The spring balances act on each other. The difference between the forces related to Law of Interaction and forces in a balanced state are as follows: Action-Reaction Forces Balanced Forces  Two forces are equal in size.  Two forces are opposite to each other in terms of direction.  Two forces have the same line of action.  Action acts on one object, while reaction acts on another object.  Two forces are equal in size.  Two forces are opposite to each other in terms of direction.  Two forces act along the same line.  Two forces act upon the same object. References and Links Herr, N. (2008). The sourcebook for teaching science: Strategies, activities, and instructional resources, grades 6-12. San Francisco, CA: Jossey-Bass. Department of Education, Culture and Sports. (DECS). (n.d.). Physics teachers resource manual. Pasig City. Author. Department of Education. (DepEd). (2002). Lesson Plans for the 2002 Basic Education Curriculum: Science IV. Pasig City. Author. The Physics Classroom (1996-2013). Newton's laws. Retrieved from www.physicsclassroom.com University of the Philippines National Institute for Science and Mathematics Education Development. (2002). Practical work on high school physics: Sourcebook for teachers. Quezon City: Author. Law of Interaction (Action-Reaction) "For every action, there is an equal and opposite reaction."
21. 21 WORK AND ENERGY Overview In Module 1, you utilized Newton's Laws to analyze the motion of objects. You investigated the motion of an object in relation to force, mass and accel eration. In this module, motion will be investigated from the perspective of work and energy. The concept of force, which you have taken up in Module 1, will be related to the concepts of work and energy. At the end of this module, you should be able to answer the following questions: What is Work? What comes to your mind when you hear the word 'work'? The word work has many meanings. When people ask, "What is your work?" They refer to a job or employment. When people say, "I'll meet you after work." They refer to the part of a day devoted to an occupation or undertaking. When your teacher asks, "Have you done your homework?" They refer to the task or activity needed to be accomplished. In Physics, work is an abstract idea related to energy. When work is done it is accompanied by a change in energy. When work is done by an object it loses energy and when work is done on an object it gains energy. In Module 1, you learned that force can change the state of motion of an object. If an object is at rest, it can be moved by exerting force on it. If an object is moving, it can be made to move faster or stopped by applying force on it. In order to say that work is done on an object, there must be force applied to it and the object moves in the direction of the applied force. What is work? What is energy? How are work, energy and power related? Unit 1 MODULE 2 Suggested time allotment: 5 to 6 hours
22. 22 Work is done if the object you push moves a distance in the direction towards which you are pushing it. Figure 1. A girl pushing a chair No work is done if the force you exert does not make the object move. Figure 2. A boy pushing a wall No work is done if the force you exert does not make the object move in the same direction as the force you exerted. Figure 3. A waiter carrying a tray Force, F displacement, d direction of motion no motion Force, F Force, F direction of motion
23. 23 Do activity 1 to see how well you understood 'work'. Activity 1 Is there work done? Objective: After performing this activity, you should be able to explain if work is done in situations represented. Procedure: Tell whether the situations shown below represent examples of work. Identify the one doing the work and on which object the work is done. Write in your notebook your answers and explanations. 2. A man lifting a box to be placed on a table. 1. A girl pulling her cart. 4. A mango fruit falling from a branch. 3. A girl carrying a bag walking down a street.
24. 24 Calculating Work Work is done when the force (F) applied to the object causes the object to have a displacement (d) in the same direction as the force applied. The symbol for work is a capital W. The work done by a force can be calculated as As you have learned in Chapter 1, the unit of force is 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑓𝑜𝑟𝑐𝑒 = 𝑘𝑔 𝑚 𝑠2 or 𝑛𝑒𝑤𝑡𝑜𝑛, 𝑁 Hence, the unit for Work, W 𝑊 = 𝐹𝑑 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑤𝑜𝑟𝑘 = 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑓𝑜𝑟𝑐𝑒 𝑥 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑤𝑜𝑟𝑘 = 𝑁 𝑚 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑤𝑜𝑟𝑘 = 𝑁𝑚 or 𝑗𝑜𝑢𝑙𝑒𝑠, 𝐽 The unit, joule (J) is named after the English Physicist James Prescott Joule. This is also a unit of energy. One (1) Joule is equal to the work done or energy expended in applying a force of one Newton through a distance of one meter. Sample problem: Suppose a woman is pushing a grocery cart with a 500 Newton force along the 7 meters aisle, how much work is done in pushing the cart from one end of the aisle to the other? 𝑊 = 𝐹𝑑 𝑊 = 500 𝑁 (7 𝑚) 𝑊 = 3500 𝑁𝑚 𝑊 = 3500 𝐽 𝑊 = 𝐹𝑑
25. 25 Try solving this: A book of mass 1 kg is on the floor. If the book is lifted from the floor to the top shelf which is 2 meters from the floor, how much work is done on the book? Work is a Method of Transferring Energy In Grade 7, you learned that there are different ways by which energy can be transferred from one place to another. Sound and light are transferred by waves; electrical energy is transferred by moving electrical charges through a complete circuit; and heat is transferred either by randomly moving particles, or by electromagnetic waves. Work is also a means of transferring energy from one object to another. Do this! Play a bowling game. Roll a plastic or rubber ball along the floor to hit an empty plastic bottle. Figure 4. A ball and a plastic bottle Is there work done on the ball? What can a moving ball do? You have done work on the ball. The force you exerted in pushing the ball is in the same direction as the motion of the ball. But then you did not continuously push the ball until it hits the empty bottle. You just gave it a nudge and then it rolled The force exerted on the ball changed the ball's motion. 'Something' was transferred to the ball causing it to move continuously. That 'something' is called energy. The energy became energy of motion of the ball.
26. 26 A rolling ball can do work on the plastic bottle. When the ball hits the plastic bottle, it can push it through a distance. Thus, a moving object can do work on anything it hits because of its motion energy. Hence, energy is oftentimes defined as the ability or capacity to do work. Since work is done on the ball, it gains energy while the person that does work on it loses energy. In the same manner, the rolling ball that does work on the empty plastic bottle loses energy while the bottle gains energy. This shows that when work is done, energy is transferred. Kinetic Energy The energy of a moving object is called energy of motion or kinetic energy (KE). The word kinetic comes from the Greek word kinetikos which means moving. Kinetic energy quantifies the amount of work the object can do because of its motion. The plastic or rubber ball you pushed to hit an empty plastic bottle earlier has kinetic energy. The force applied caused the ball to accelerate from rest to a certain velocity, v. In Module 1, you learn that acceleration is the rate of change in velocity. In the equation, 𝑎 = 𝑣 − 𝑣𝑖 𝑡 where v is the final velocity, vi is the initial velocity and t is the time. Since the ball started from rest, the initial velocity is zero. Thus, the acceleration is 𝑎 = 𝑣 𝑡 Substituting this in Newton's second law 𝐹 = 𝑚𝑎 𝐹 = 𝑚 𝑣 𝑡 The equation in finding the average velocity of the ball is 𝑣̅ = 𝑣𝑖 + 𝑣𝑓 2
27. 27 Since the initial velocity is zero, the average velocity, 𝒗̅ is 𝑣̅ = 𝑣𝑓 2 or 𝑣̅ = 𝑣 2 The distance travelled by the ball before it hits the empty plastic bottle is given by the equation 𝑑 = 𝑣𝑡̅ where 𝑣̅ refers to the average velocity 𝑑 = 𝑣 2 𝑡 Let's put the equations together. Since 𝑾 = 𝑭𝒅 and 𝑭 = 𝒎𝒗 𝒕 , we get 𝑊 = 𝑚𝑣 𝑡 𝑑 𝑊 = 𝑚𝑣 𝑡 ( 1 2 𝑣𝑡) 𝑊 = 1 2 𝑚𝑣2 This shows that the work done in accelerating an object is equal to the kinetic energy gained by the object. 𝐾𝐸 = 1 2 𝑚𝑣2 From the equation, you can see that the kinetic energy of an object depends on its mass and velocity. What will happen to the KE of an object if its mass is doubled but the velocity remains the same? How about if the velocity is doubled but the mass remains the same?
28. 28 As you have learned in Module 1, the unit for mass is kg while for velocity it is meter per second. Hence, the unit for Kinetic Energy, KE is 𝑢𝑛𝑖𝑡 𝑜𝑓 𝐾𝐸 = 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑚𝑎𝑠𝑠 𝑥 𝑢𝑛𝑖𝑡 𝑜𝑓 𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 𝑢𝑛𝑖𝑡 𝑜𝑓 𝐾𝐸 = 𝑘𝑔 ( 𝑚 𝑠 ) 2 𝑢𝑛𝑖𝑡 𝑜𝑓 𝐾𝐸 = 𝑘𝑔 𝑚2 𝑠2 But, 𝑘𝑔 ∙ 𝑚 𝑠2 = 1 𝑛𝑒𝑤𝑡𝑜𝑛, 𝑁 𝑢𝑛𝑖𝑡 𝑜𝑓 𝐾𝐸 = 𝑁𝑚 𝑜𝑟 𝑗𝑜𝑢𝑙𝑒𝑠, 𝐽 Try solving this: A 1000 kg car has a velocity of 17 m/s. What is the car's kinetic energy? Potential Energy In activity 1 you were asked if the illustration of a man lifting a box demonstrates work. Figure 5. A man lifting a box
29. 29 Which/who is doing work in the illustration? Is it the table, the box, or the man? Yes you are correct if you answer "The man is doing work on the box." What is the direction of the force exerted by the man on the box? Yes, it is upward. What is the direction of the motion of the box? Yes, it is upward. Then we can say, work is done by the man on the box. As discussed previously, work is a way of transferring energy. Since the work is done by the man, he loses energy. The work is done on the box, hence the box gains energy. In Grade 6, you learned about the force of gravity. It is the force that the earth exerts on all objects on its surface. It is always directed downward or towards the center of the earth. Hence, when an object is lifted from the ground, the work done is against the force of gravity. An object gains energy when raised from the ground and loses energy when made to fall. The energy gained or lost by the object is called gravitational potential energy or simply potential energy (PE). For example when a 1.0 kg book is lifted 0.5 m from the table, the force exerted in lifting the book is equal to its weight. 𝐹 = 𝑊𝑒𝑖𝑔ℎ𝑡 = 𝑚𝑔 The acceleration due to gravity, g is equal to 9.8 meters per second squared. The work done in lifting the book is 𝑊 = 𝐹𝑑 where the displacement (d) is the height (h) to which the object is lifted. 𝑊 = 𝑚𝑔ℎ This shows that the work done in lifting an object is equal to the potential energy gained by the object. 𝑃𝐸 = 𝑚𝑔ℎ The potential energy of the book lifted at 0.5 m relative to the table is: 𝑃𝐸 = 1 𝑘𝑔 𝑥 9.8 𝑚 𝑠2 𝑥 0.5 𝑚 𝑃𝐸 = 4.9 𝐽
30. 30 If the book is lifted higher than 0.5 m from the table, what would happen to its potential energy? The potential energy gained and lost by an object is dependent on the reference level. Consider a table and a chair shown in Figure 6. If the same 1.0 kg book is held 1 m above the table, the potential energy gained by it is 9.8 J with the table as the reference level; it is 14.7 J if the reference level were the chair; and 19.6 J if the reference level were the floor. If the book is released from a height of 2 m, the potential energy lost when it reaches the level of the table top is 9.8 J; 14.7 J when it reaches the level of the chair; and 19.6 J when it reaches the floor. Figure 6. A table and a chair Try solving this: If the same 1.0 kg book is lifted to 0.5 m above the table, but the table top is 1.0 m above the floor, what would be the potential energy of the book if the reference level were the floor? The energy of an object above the ground is called potential energy because it is a 'stored' energy. It has the potential to do work once released. Think of water held in a dam. It has potential energy. Once released, the water has the potential to move objects along its way. The potential energy of the water is transformed into kinetic energy. 1 m 0.5 m table chair floor book 1 m
31. 31 The gravitational potential energy is just one type of potential energy. Another type is the elastic potential energy. Springs and rubber bands are called elastics. When elastics are stretched and then let go, they will return to their original form if they were not stretched beyond their elastic limit. The force needed to stretch or compress elastics depends on the elasticity of the object and the change in elongation. The relationship between the force and the change in elongation (∆𝑙) was first observed by Robert Hooke, hence, the name Hooke's Law expressed as: 𝐹 ∝ ∆𝑙 𝐹 = 𝑘∆𝑙 The proportionality holds true as long as the elastic limit of the elastics has not been reached. The proportionality or force constant k is a measure of the elasticity of the material. Consider a spring. Since the force exerted in stretching a spring causes a change in length, then work is done on the spring. When work is done, energy is transferred. Thus, the stretched spring gains potential energy. The work done to stretch the spring a distance x (the symbol x is used instead of d) is equal to its potential energy. In equation; 𝑊 = 𝑃𝐸 = 1 2 𝑘𝑥2 The elastic potential energy depends on how much the elastic object is stretched or compressed and the elasticity of the material. What are the games you play using rubber bands? What do you do with the rubber bands in the games? Do Activity 2 to see how a rubber band 'stores' potential energy. Activity 2 Rolling toy Objective: After performing this activity, you should be able to explain how a twisted rubber band can do work and relate the work done to potential energy.
32. 32 Materials Needed: 1 clear plastic container with cover 1 rubber band 1 pc 3-cm round barbecue sticks 1 pc barbecue stick with sharp part cut masking tape Procedure: 1. Make a hole at the center of the cover and at the bottom of the plastic container. Figure 7. A plastic container with holes 2. Insert the rubber band into the hole at the bottom of the container. Insert in between the rubber band the 3-cm barbecue stick. Tape the barbecue stick to keep it in place. Figure 8. Steps in inserting the 3-cm barbecue stick 3. Insert the other end of the rubber band into the hole in the cover. Insert a bead or a washer to the rubber band before inserting the long barbecue stick. Figure 9. Steps in inserting the bead and the long barbecue stick hole hole masking tape
33. 33 4. You just made a toy. Twist the rubber band by rotating the long barbecue stick. Figure 10. Rotating the long barbecue stick 5. Lay the toy on the floor. Observe it. Figure 11. Finished toy Q1. What happens to the toy? Q2. What kind of energy is 'stored' in the rubber band? Q3. What kind of energy does a rolling toy have? Q4. What transformation of energy happens in a rolling toy? Work, Energy, and Power So far, we have discussed the relationship between work and energy. Work is a way of transferring energy. Energy is the capacity to do work. When work is done by an object it loses energy and when work is done on an object it gains energy. Another concept related to work and energy is power. Power is the rate of doing work or the rate of using energy. In equation, 𝑃 = 𝑊𝑜𝑟𝑘 𝑡𝑖𝑚𝑒 = 𝐸𝑛𝑒𝑟𝑔𝑦 𝑡𝑖𝑚𝑒
34. 34 The unit for power is joules per second. But maybe, you are more familiar with watts which is commonly used to measure power consumption of electrical devices. The unit watt is named after James Watt who was a Scottish inventor and mechanical engineer known for his improvements on steam engine technology. The conversion of unit from joules per second to watts is: 1 𝑤𝑎𝑡𝑡 = 1 𝑗𝑜𝑢𝑙𝑒 1 𝑠𝑒𝑐𝑜𝑛𝑑 Do Activity 3 to see your power output in walking or running up a flight of stairs. Activity 3 How POWER-ful am I? Objective: After performing this activity, you should be able to compute for your power output in walking or running up a flight of stairs. Materials Needed: meterstick timer Procedure: 1. Write the group members' names in the first column of Table 1. 2. Enter each member's weight in column 2. To solve for the weight, multiply the mass (in kg) by acceleration due to gravity (g=9.8 m/s2 ). 3. Measure the height of the flight of stairs that you will climb. Record it on the table. h
35. 35 4. Each member will walk or run up the flight of stairs. Use a stopwatch or any watch to get the time it takes for each member to climb the stairs. Record the time in the 4th column. 5. Solve for the energy expended by each member. Record them in the 5th column of the table. 6. Compute for the power output of each member. Table 1 Name Weight (N) Height of stairs (m) Time taken to climb the stairs (s) Energy expended (J) Power (J/s) Q1. Who among the group members had the highest power output? Q2. What is the highest power output? Q3. Who among the group members had the lowest power output? Q4. What is the lowest power output? Q5. What can you say about the work done by each member of the group? Did each member perform the same amount of work in climbing the stairs? Q6. What factor/s determined the highest/lowest power output? These are the concepts that you need to remember about work and energy:  Work is done on an object when the force applied to it covers a distance in the direction of the applied force.  Work is a way of transferring energy.  When work is done by an object it loses energy and when work is done on an object it gains energy.  The energy of an object enables it to do work.
36. 36  A moving object has energy called energy of motion or kinetic energy.  An object above a specified level has energy due to its position called potential energy.  An elastic object that is stretched or compressed or twisted has energy called potential energy.  Power is the rate of doing work or the rate of using energy. References and Links Henderson, Tom. (2013). Work and energy. Retrieved from https://itunes.apple.com/us/book/work-and-energy/id611940649?mt=13 Hewitt, P.G. (2002). Conceptual physics. USA: Prentice-Hall, Inc. Saddle River, New Jersey. Kirkpatrick, L.D., & Wheeler, G.F. (1998). Physics: A world view. Forth Worth: Saunders College. Ostdiek, V.J., & Bord, D.J. (1987). Inquiry into physics. New York: West Publishing. DepEd. Science and Technology IV. SEDP Series. (1992). Philippines: Book Media Press, Inc.
37. 37 HEAT AND TEMPERATURE Overview Heat transfer happens around us all the time. Although we do not see how this process actually takes place, its effects are evident. In fact, we rely on these effects everyday in many of the activities that we do. Understanding the concepts behind heat transfer therefore helps us do our activities more efficiently. You have learned in previous grades that heat transfer takes place between objects or places of different temperatures, and that heat transfers from an object of higher temperature to an object of lower temperature. You have also learned that heat can be transferred through conduction, convection, or radiation, and that heat transfers either through moving particles or electromagnetic waves. Lastly, you also learned about some factors that affect heat transfer, like the conductivity of the materials. This time, you will learn more about heat transfer by exploring its effects on materials. You will also learn about the factors that affect the amount of heat that an object can absorb or release and describe how these are related to the amount of heat transferred. People often interchange the use of the terms heat and temperature in their daily conversation. They also think that heat and temperature are just the same. But for physicists, heat and temperature are two different concepts. So in this module, you will also learn the difference between heat and temperature. At the end of this module, you are expected to answer the following key questions: Unit 1 MODULE 3 Suggested time allotment: 5 to 6 hours
38. 38 Points to remember… Remember that heat is the transfer of energy between objects or places because of difference in temperature. Heat exists as 'energy in transit' and it is not contained in an object. The energy that is actually contained in an object due to the motion of its particles is called thermal energy. The thermal energy of an object is changed if heat is transferred to or from it. Since the amount of heat transferred relates to the amount of change in thermal energy, the term heat in this module is also used to refer to the measure of thermal energy transferred. Note also that the activities in this module involve hot and boiling water, so extra care should always be observed. Activity 1 Explaining hotness or coldness This first activity deals with one of the major effects of heat transfer, which is temperature change. You will describe the hotness or coldness of an object in terms of its temperature. You will also compare the changes in the temperature of water to determine the relationship between the amount of heat transferred and the resulting temperature change. Materials Needed: 3 identical containers thermometer hot water tap water (room temperature) cold water What happens to solids, liquids, or gases when they absorb or release heat? Does heat affect all kinds of materials in the same way? Are heat and temperature one and the same?
39. 39 Procedure: 1. Half-fill the three containers with equal amount of cold water. Arrange them next to one another as shown in Figure 1 below. 2. Place your finger for a while into any of the containers. Try to recall your lesson on Heat Transfer in Grade 7 and answer the following questions: Q1. What actually transferred when you dipped your finger into the water? In what direction did it transfer? Q2. Was the water 'hot' or 'cold'? Explain. Discuss your answers with the group. Try to estimate the temperature of the water in the containers. 3. Measure with a thermometer the temperature of the water in each container. Record your measurements in Table 1 below. (Note: The initial temperature of the water in each container should be the same as they come from the same source.) Figure 1 1 2 3
40. 40 Table 1: Data for Activity 1 Estimated temperature of water: ____ (°C) Container Measured temperature (°C) Change in temperature Initial Final Container 1 Container 2 Container 3 Q3. How close is your estimated value to the measured temperature of the water? 4. Add the same amount of hot water to container 1, tap water to container 2 and the same cold water to container 3. Leave the containers for a while. 5. Dip your fingers again, this time into the three containers. Make sure that you do not dip the same finger into the containers. Q4. Which container feels 'hottest'? Which container feels 'coolest'? Q5. What do you think causes the difference in the hotness or coldness of the water inside the containers? 6. Measure and record the temperature of the water in all containers. Calculate the change in the temperature of water in each container. Q6. In which container(s) is heat transfer taking place? What evidence best supports your answer? Within this container, which absorbs heat? Which gives off heat? Q7. In which container was there the greatest amount of heat transferred? What is the basis of your answer? Q8. How are the amount of heat transferred and the change in temperature of water related? ___________________________________________________________________ You have just observed that if heat is absorbed or given off by an object, its temperature changes. If the object absorbs heat its temperature rises. How do we explain the rise in temperature when heat is absorbed? In this next activity, you will take a closer look at what is actually happening at the particle level and infer what happens to the particles of an object when heat is added to it.
41. 41 Activity 2 Dye in water At the end of this activity, you should be able to explain the scattering of the dye in water at different temperatures. Materials Needed: 3 transparent containers 1 thermometer 3 plastic droppers hot water tap water (room temperature) cold water dye (Food color) Procedure: 1. Fill the three containers separately with cold water, tap water, and hot water. 2. Measure the temperature of the water in each container. Record your measurements in Table 2 below. Table 2: Data for Activity 2 Container Temperature (0 C) Observations Container 1 Container 2 Container 3 3. With the dropper, place a drop of dye into the center of each container as shown in Figure 2. (Note: It is better if you place drops of dye into the three samples simultaneously.)
42. 42 4. Carefully observe and compare the behavior of the dye in the three containers. Write down your observations in Table 2. Q9. What similarities and differences did you observe when a drop of dye was added to each container? Q10. In which container did the dye scatter the fastest? In which di it scatter the slowest? Q11. How do you relate the temperature of the water to the rate of scattering of the dye? _________________________________________________________________ You learned in Module 2 that moving objects possess kinetic energy. All the objects that you see around you that are moving possess kinetic energy. But do you know that even the very small things that you cannot see, like the particles of objects, are also moving and have kinetic energy? Take for example the water inside the containers in Activity 2. The scattering of the dye through the water indicates that the particles of water are moving. You will learn more about the movement of the particles of matter in the third quarter when you discuss about the Particle Theory of Matter. You also noticed that the rate of scattering of the dye throughout the water differs in each container. It can then be inferred that the speed of the particles of water varies in each container. Since kinetic energy depends on speed, the kinetic energies of the particles also vary. Q12. In which container are the particles of water moving fastest? In which container are the particles moving slowest? Q13. How is temperature related to the speed of the particles? Figure 2
43. 43 Q14. How is temperature related to the kinetic energy of particles? If heat is added to an object, the particles of the object gain kinetic energy and they move faster. Since temperature is directly related to kinetic energy, any gain in kinetic energy would cause the temperature to increase. Conversely, if heat is transferred or removed from an object, it loses kinetic energy, its particles move slower and the body's temperature decreases. Thermal Expansion, the Working Principle of the Mercury Thermometer You know that temperature is measured by the use of thermometer. You have most probably used this device many times. The thermometer commonly available in our schools is the liquid thermometer, which has a column of either mercury or alcohol. When the thermometer is placed in contact with any object the mercury column either rises or drops. Now, why does the liquid inside the tube of the thermometer go up or down? This happens because the mercury inside the tube expands or contracts in response to a change in temperature. When the thermometer bulb is placed in hot water, the liquid inside the tube expands. As it does, it takes more space and so it goes up the tube. When the bulb is placed in cold water, the liquid contracts and so it goes down the tube. In physics, this is called thermal expansion, another effect of heat transfer. But thermal expansion does not apply only to the liquid inside the thermometer. In fact, it applies to almost everything around us, be it a solid, a liquid, or a gas. If allowed by your teacher, you may try this simple activity to demonstrate expansion of a solid when heated. Figure 3. Thermometers in a) hot and b) cold liquid
44. 44 Try this! You will need: copper wire (around 2m long), candles, meterstick, 2 iron stands with clamps or rings, standard weight (or any mass around 500g) What to do: Prepare the setup as shown below. Make sure that the ends of the copper wire are tied or clamped firmly. Hang the weight in the middle of the wire. Use the candles to warm the wire at different points. Do this for 1 or 2 minutes and observe what will happen to the height of the weight. If you tried out this experiment, you would have observed that when you heated the entire length of the wire, the weight moved down or its height decreased a little. This indicates that the wire expanded or increased in length when heated. There are so many applications of thermal expansion around us. Some are beneficial to us; others can also be a burden to us. One example of thermal expansion in solid is the sagging of electrical power lines or telephone wires on hot days. This happens because heat causes them to expand. Have you ever wondered why it is difficult to open a jar that was just taken out of the refrigerator or why motorists are advised not to overinflate their car tires or fill their gasoline tanks to the brim? How will you apply the concepts of thermal expansion to explain all these? WeightCopper wire Ruler or meterstick Figure 4. Setup for expansion of wire experiment
45. 45 Phase Change Another change that may occur when heat is added to or taken out from an object is phase change. For example, you know that water can change from solid (ice) to liquid (water) or from liquid to gas (steam). The next activity will allow you to observe the changes that take place when ice turns to liquid water. Activity 3.1 What happens when ice melts? After this activity, you should be able to answer this question: What happens to the temperature of water while changing from ice to liquid water? Materials needed: crushed ice 1 glass container timer (stopwatch) stirring rod Procedure: 1. Put some crushed ice and a little cold water into the container. 2. Stir the contents of the container for few seconds; then, measure the temperature of the contents. Avoid letting the thermometer touch the bottom of the container to ensure that you are actually measuring the temperature of the water.
46. 46 Record your temperature reading in Table 3 below. Table 3: Temperature readings for melting ice 3. Repeat step 2 every 2 minutes. Make sure that you stir and measure exactly the same way each time. Record each measurement in Table 3. Q15. Why does the ice inside the container melt after sometime? 4. Continue measuring until the ice has totally melted and even after it has already melted completely (around 4-6 minutes more). 5. Construct a temperature against time graph. Draw a smooth line that passes through almost all the points. Q16. Which is your dependent variable? Which is your independent variable? (Note that the independent quantity is plotted along the X-axis while the dependent quantity is plotted along the Y-axis. Q17. Describe your graph. Q18. Describe the temperature of the water while the ice melting. Q19. Describe the temperature of the water after the ice has melted. Were you able to see in your graph a horizontal line similar to the part encircled in Figure 5? This was during the time when solid (ice) was turning to liquid water. During this stage, the temperature of the water remained the same, as shown by the horizontal line. Remember that a change in temperature indicates a change in kinetic energy. In this case, there was no change in the kinetic energy of the particles. So what happened to the heat energy that was continuously transferred to the water? The energy absorbed by the water is used by the particles to overcome Time (min) Temperature (°C) 0 (Initial) 2 4 6 8 10 12 14
47. 47 the attractive forces between them, and not to increase the speed of particles. The temperature of the water will only start to increase after the ice has totally melted. What if you continue to heat the water further until it boils? What do you think will happen to the temperature of the water? Activity 3.2 What happens to the temperature of water as it boils? Materials: beaker stirrer thermometer (can measure up to 100°C) alcohol burner water (hot water) stand or tripod with wire gauze Procedure: 1. Fill the beaker with 100 mL hot water and place it above the alcohol burner using the tripod with wire gauze. 2. Measure and record the temperature of the water every 2 minutes until it boils. Once the water starts to boil, continue taking the temperature for 4-6 more minutes. 3. Plot the graph of temperature against time. Q20. Describe and interpret your graph. Q21. What similarities and differences have you noticed between your graphs in Activity 3.1 and Activity 3.2? If you heat up the same sample from ice to water then from water to gas (vapor) and plot the graph of temperature vs time, it would look like the graph in Figure 5. The graph shows that the ice absorbs heat as evidenced by the temperature rise; the temperature remains the same when ice starts to melt and until all the ice has melted; then the temperature rises again until water boils. The temperature remains constant at boiling temperature when water starts turning to steam and until all the liquid water has become water vapor.
48. 48 In Activity 1, you found that the high temperature water transferred more heat than water at a lower temperature. This is shown by a greater increase in temperature of the object that absorbed the heat. What other factors determine the amount of heat that a body can transfer? Activity 4 What is the relationship between the mass of a material and the amount of heat it can transfer? Task: In this activity, your group is assigned to plan and conduct a simple investigation to determine the relationship between the mass of a material and the amount of heat that it can transfer. You need to gather and analyze data to come up with answers to the question given above. Apply what you learned in grade 7 about doing simple investigations. 1. Start with your group's prediction below: Prediction: ____________________________________________________ _____________________________________________________________ _____________________________________________________________ Figure 5. Phase change of water as heat is added Melting Vaporization Temperature Time Heat 100°C (Boiling point) 0°C (Melting point) Ice Water Steam (vapor)
49. 49 2. Below are some guides to help you with your task. a. What are your variables? Independent variable: Dependent variable: Controlled variable (constant): b. What materials are you going to use for your simple investigation? c. What quantities are you going to measure for your data? d. How are you going to analyze and present your quantities (data) to describe the relationship among the variables? 3. Write your step-by-step procedure. Let your teacher check your procedure first before you proceed. Precautions should always be observed. 4. Present your data systematically. If you were successful in your investigation, you would have realized that the amount of heat transferred depends not only on the temperature of the material. It also depends on the mass or amount of material. Objects with greater mass have more thermal energy and can transfer more heat. ___________________________________________________________________ Heat Capacity Earlier in this module, you learned that materials expand when heated or contract when cooled. This time, you will study another thermal property of materials —their ability to absorb or release heat that results in temperature change. In science, the amount of heat needed by a material to increase its temperature by a degree is called heat capacity (C). To be more specific, the term specific heat capacity (c) is used, and this refers to the amount of heat required to increase the temperature of one unit mass of a given material by one Celsius degree. For example, water has a specific heat capacity of 1 cal/g°C. So it takes 1 calorie of heat to raise the temperature of 1 gram of water by 1°C.
50. 50 Activity 5 Comparing heat capacities Objectives: After performing this activity, you should be able to compare the heat capacities of the given liquid samples. Materials: 2 identical small containers (each with 100mL of liquid sample) 2 identical large containers (large enough to accommodate the small containers) 2 thermometers hot water liquid samples: water, cooking oil Note: Store the liquid samples in the same room to ensure that both are at room temperature when you do the activity. Procedure: 1. Pour 100mL of water into one of the small containers and the same amount of cooking oil into the other container. Measure and record their initial temperature in Table 4 below. Table 4 Initial temperature (C) Heating time (sec) Cooking Oil Water 2. Place the small container with oil in a larger container with hot water. Make sure that the hot water does not mix with the liquid sample. 3. Measure the time it takes for the oil to increase in temperature by 5 °C. Example, if the initial temperature of the liquid is 28C, take the time it takes for the temperature to reach 33C. Record your measured heating time in Table 4.
51. 51 4. Do the same with the water sample. Make sure that the amount and temperature of the hot water is the same for both samples. Record also your measurement in Table 4. Q22. Which liquid requires more time to increase in temperature by 5 degrees? Q23. Which liquid requires more heat to increase in temperature by 5 degrees? Q24. Which liquid has a greater heat capacity? Different materials have different specific heat capacities. Many metals have low specific heat capacities. This makes them easy to heat up and cool down. Water, on the other hand, has a high specific heat capacity and so it takes a long time to heat and a long time to cool. This makes the water a good coolant for car radiators. Because of its high specific heat capacity, it can absorb a large amount of heat without causing its temperature to rise too high. Heat and Temperature So far, you have already recognized the relationship between heat and temperature. So how do they differ? Go back to your previous experiments and analyze your findings. Then try to answer questions below.  Which has a higher temperature, 1 cup of boiling water or 1 teapot of boiling water? Which can transfer more heat, 1 cup of boiling water or 1 teapot of boiling water? Explain your answer.  Which can transfer more heat, a cup of boiling water or a cup of tap water? If you increase the amount of the boiling water and tap water twice, will their temperature change? Explain your answer.  Which can transfer more heat, a cup of boiling water or 1 basin of tap water? (You may try this out if you have time.) So how are heat and temperature different? Well, here are the important points to consider about the difference between heat and temperature. First, heat is a form of energy while temperature is not a form of energy. Temperature is a measure of the average kinetic energy of the particles and it does not depend on the mass of the object. It can be measured directly with the use of thermometers. Heat cannot be measured directly. But you can make use of the measurable quantities related to heat to determine how much heat (Q) is absorbed by the object. These are the change in temperature (∆T), mass (m), and specific heat capacity (c) of the object. The relation among these quantities is expressed as: TcQ  m .
52. 52 Links Chalfant, H., Peyron, M., Rachke, C. (2005, Fall). Heat and temperature. Sci Ed, 491. Retrieved from http://www.biol.wwu.edu/donovan/SciEd491/HeatTempUnit.pdf Expansion and contraction. (n.d.). Retrieved from http://schools.cbe.ab.ca/b682/pdfs/Science%207/Heat-and-Temperature- Unit3_T4_T6.pdf
53. 53 ELECTRICITY Overview Electricity is a part of our daily lives. Many of the activities we do everyday depend on electricity. The discovery of electricity changed people's lives. Can you watch your favorite show on TV without electricity? Can you use your computers without electricity? Imagine our life today without electricity. You have been learning a lot about electricity from Grade 3 to Grade 7. You have learned about its sources and uses; what materials make good conductors of electricity; what makes up an electric circuit; and how electrical energy is transferred or transformed into other forms of energy. In this module, you will learn more about electricity. There are three quantities that you should be familiar with in the study of electricity. These are electric current, voltage, and resistance. You will use the relationships among these quantities in learning about circuit connections. You will also learn that some of the safety precautions you have been warned about can be explained by the relationships among voltage, current, and resistance. At the end of this module you should be able to answer the following questions: How do voltage and resistance affect electric current? What are the safety precautions needed in using electricity? Unit 1 MODULE 4 Suggested time allotment: 6 to 8 hours
54. 54 Electric Current In Grade 7, you learned that a circuit is any arrangement of a source of energy (battery), connecting wires, and a load (e.g. bulbs). You also learned that a complete or a closed circuit provides a path for electrical charges to flow. Electric current is a measure of the number of electrical charges passing through a cross- section of a conductor in a given time. The direction of conventional current or simply current is from the positive terminal of the battery to the negative terminal. The symbol for current is capital letter I. The unit, ampere (A), is named after Andre-Marie Ampere, a French physicist who made important contributions to the theory of electricity and magnetism. An ammeter measures electric current. Figure 1 shows how the ammeter is connected in a circuit. The positive terminal of an ammeter is connected to the positive terminal of the energy source (e.g. battery) while the negative terminal is connected to the negative terminal of the energy source as shown in Figure 1. Figure 1. Ammeter connected in a circuit Voltage What makes the charges move in a closed circuit? In Module 2, you learned that when work is done on an object, energy is transferred which can become energy of motion of the object. In a circuit, work must be done on the charges to make them move. The battery supplies the energy in electric circuits. The chemical energy in the battery is transformed to electrical energy. This electrical energy moves the charges in a circuit. A battery consists of several dry cells or wet cells. Both dry and wet cells contain a conducting medium called electrolyte. The batteries we use in flashlights and watches are dry cells.
55. 55 The symbol for voltage is capital letter V. The unit, volts (V), is named after the Italian physicist Alessandro Volta who invented the voltaic pile, the forerunner of what we now call the dry cell. A voltmeter measures voltage. Figure 2 shows how the voltmeter is connected in a circuit. The voltmeter should be connected across the load being tested. The positive terminal of a voltmeter is connected to the positive terminal of the bulb while the negative terminal is connected to the negative terminal of the bulb as shown in Figure 2. Figure 2. Voltmeter connected across the load If voltage is needed for charges to flow, how does the amount of voltage affect current? Find out in Activity 1. Activity 1 Current and voltage Objectives: After performing this activity, you should be able to: 1. measure the electric current and voltage in a circuit using an ammeter and voltmeter respectively; and 2. determine the relationship between electric current and voltage. positive terminal of the bulb negative terminal of the bulb
56. 56 Materials Needed: 1 ammeter 1 voltmeter 2 dry cells (1.5 V each) 2 dry cell holders 4 connecting wires 1 switch 1 bulb 1 bulb holder Procedure: 1. Construct a simple circuit using a dry cell, a bulb, a switch and an ammeter. Close the circuit by turning on the switch. Observe the bulb and the ammeter. Record the ammeter reading in Table 1. Upon completion of the task, switch off the circuit. Figure 3. Ammeter connected in a circuit with one dry cell Q1. What is the reading on the ammeter? 2. Add another dry cell to the circuit. Record the electric current measurement in Table 1. Once the task is done, turn off the switch. Figure 4. Ammeter connected in a circuit with two dry cells switch battery bulb ammeter
57. 57 Table 1 No. of batteries Voltage (V) Current (A) 1 2 Q2. Compare the brightness of the bulb with one dry cell to its brightness when there are two dry cells in the circuit. Q3. What is the ammeter reading this time? Q4. What can be inferred about the current passing through the bulb? 3. Connect the voltmeter in the circuit as shown in Figure 5. Switch on and record the voltage in Table 1. Once the task is done, turn off the switch. Figure 5. Voltmeter connected in a circuit with one dry cell Q5. What is the voltmeter reading? 4. Add another dry cell to the circuit. Record the voltmeter reading in Table 1. Observe the brightness of the bulb. Once the task is done, turn off the switch. Figure 6. Voltmeter connected in a circuit with two dry cells
58. 58 Q6. Describe the brightness of the bulb. Q7. What is the voltmeter reading this time? Q8. What can be inferred about the voltage across the bulb? Q9. Refer to Table 1, how are voltage and current related? In Activity 1, the current and voltage in circuits with 1 dry cell and 2 dry cells were compared. You observed that the ammeter and voltmeter readings are greater in the circuit with 2 dry cells as compared to the circuit which has only one dry cell. Also, the bulb in the circuit with 2 dry cells glowed brighter than the bulb in the circuit with only 1 dry cell. The activity showed that as the voltage increases, the current also increases. However, a circuit is not only about voltage and current. There is another component which is the load. A load is any component in a circuit that converts electricity into light, heat, or mechanical motion. In the circuit you constructed in Activity 1, the bulb is the load. If two bulbs were used in the circuit, would there be a change in the circuit current? You will find out in Activity 2. Resistance When electric charges flow through the wires and loads of the circuits they encounter resistance or a hindrance to their movement. So another factor that affects the flow of charges or current is resistance. The symbol for resistance is capital letter R. The unit, ohms (Ω) is named after the German physicist Georg Simon Ohm. How is current affected by the resistance of the load in a circuit? Do activity 2 to find out. Activity 2 Current and resistance Objectives: After performing this activity, you should be able to determine the relationship between electric current and resistance.
59. 59 Materials Needed: 1 ammeter 2 dry cells 2 dry cell holders 4 connecting wires 1 switch 3 flashlight bulbs (voltage rating of 2.5V each) 3 bulb holders Procedure: 1. Construct a simple circuit using one bulb, 2 dry cells and an ammeter as shown in Figure 7. Record the electric current measurement in Table 2. Once the task is done, turn off the switch. Figure 7. Ammeter connected in a circuit with one bulb and two dry cells 2. To increase the resistance, add another bulb in the circuit. Connect the ammeter and record the electric current measurement in Table 2. Once the task is done, turn off the switch. Figure 8. Ammeter connected in a circuit with two bulbs and two dry cells
60. 60 3. To further increase the resistance, add another bulb in the circuit. Connect the ammeter and record the electric current measurement in Table 2. Once the task is done, turn off the switch. Figure 9. An ammeter connected in a circuit with three bulbs and two dry cells Table 2 Q10. Based on Table 2, what happens to the current in the circuit as the resistance increases (increasing of bulbs)? 4. Connect the ammeter at different points around the circuit shown in Figure 10. Make sure that the positive terminal of the ammeter is connected to the positive terminal of the dry cell while the negative terminal is connected to the negative terminal of the dry cell. Once the task is done, turn off the switch. Figure 10. Ammeter connected between two bulbs in a circuit No. of bulbs Current (A) 1 2 3 A B C
61. 61 Q11. Compare the current at different points in the circuit. Q12. What can you infer about the current through the circuit? In Activity 2, you added bulbs to the circuit to see if the current in the circuit will be affected. You observed that keeping the number of dry cells the same, adding more bulbs resulted in a decrease in current. Since adding more bulbs means increasing the resistance in the circuit, it can be inferred that the resistance limits the current in the circuit. You further observed that the current is the same in any part of the circuit as evidenced by the ammeter readings. How is the result in Activity 1, related to the result in Activity 2? The results of Activity 1 showed that for a fixed resistance (one bulb), as the voltage increases, the current also increases. For Activity 2, the results showed that keeping the voltage the same (2 dry cells), when the resistance increases, the current decreases. At this point, you are already very familiar in constructing a circuit. In Activity 3 you will find out if connecting loads in different ways would affect the current and voltage of the circuit Activity 3 What's the connection? Objectives: After performing this activity, you should be able to: 1. connect loads in different ways and 2. explain the similarities and differences between the circuit connections. Materials Needed: For Circuit A: 3 connecting wires 2 identical bulbs with holder 2 dry cells with holder For Circuit B: 4 connecting wires 2 identical bulbs with holder 2 dry cells with holder voltmeter for both circuits
62. 62 Procedure: 1. Construct a circuit using three connecting wires, two identical bulbs and two batteries such that when one bulb is unscrewed the other bulb goes out also. Once you're done with the task, disconnect the battery from the circuit. 2. Draw your setup. Label this Circuit A. 3. Trace the paths of current in Circuit A. Q13. How many path/s of current are there in the circuit? Q14. Why did the other bulb go out also when you unscrewed the other? 4. This time, construct a circuit using four connecting wires, two identical bulbs and two batteries such that when one bulb is unscrewed, the other bulb remains lighted. Once you're done with the task, disconnect the battery from the circuit. 5. Draw your setup. Label this Circuit B. 6. Trace the path of current in Circuit B. Q15. How many paths can the current take in Circuit B? Q16. Explain why the other bulb remains lighted when you unscrewed one of them. 7. Put Circuits A and B side by side. Observe the brightness of the bulbs. Q17. Which circuit has brighter bulbs, A or B? Q18. Based on the brightness of the bulbs, compare the current in Circuit A and in Circuit B? 8. Measure the voltage across the two bulbs as well as the voltage across each bulb in Circuit A. Record your readings in Table 3. Do the same in Circuit B. Table 3 Circuit Voltage drop (V) Voltage across the two bulbs (V)Bulb 1 Bulb 2 A B In Circuit A, the bulbs are connected in series, while in Circuit B, the bulbs are connected in parallel. Series and parallel connections are the two ways of wiring loads. In a series connection, there is only one path for the current. In a parallel connection the current from the battery can branch out to the two bulbs. Hence the current can take the path through Bulb 1 and the path through Bulb 2.
63. 63 The current in Circuit A takes only one path, passing through the two bulbs. When one bulb is unscrewed or removed, a gap is created. A gap or a break anywhere in the path stops the flow of charges and therefore no current passes through to the other bulb. In Circuit B, the current can take two paths - one path for each bulb. When one bulb is unscrewed or removed, the other bulb is still part of a complete circuit and remains lighted. Let us compare the other characteristics of Circuits A and B. Circuit A is similar to the circuit of three bulbs you made in Activity 2. The bulbs are connected in series. In this type of connection, the resistance increases with the number of bulbs added in the circuit. The total resistance in the circuit is the sum of the resistance offered by each bulb. You observed in Activity 2 that as the total resistance increases, the current through the circuit decreases. You also measured the current and voltage at different parts of the circuit. Your measurements showed that the current is the same anywhere in a series circuit, and the sum of the voltages across each bulb equaled that of the voltage source. On the other hand, Circuit B has 2 bulbs which are connected in parallel. You observed that the voltage across each bulb is almost equal to the voltage of the two dry cells, indicating that the voltage anywhere in the circuit is the same. However, when the brightness of the bulbs in Circuit B is compared to that of the bulbs in Circuit A, those of Circuit B were brighter than those of A. This means the current in B is greater than the current in A. Since the voltage in A and B are the same (2 dry cells), the greater current in B indicates that the total resistance of Circuit B is less than the total resistance of Circuit A. We can infer that when loads (bulbs) are connected in parallel, the total resistance of the circuit decreases; when the loads are connected in series, the total resistance increases. Table 4 compares the total current, total voltage and total resistance of series and parallel circuits. Table 4 Series connection Parallel connection Total current Same as current in individual load Equal to the sum of current in individual loads Total voltage Equal to the sum of the voltages across each load Same anywhere across two points in the circuit Total resistance Increases with increasing load Decreases with increasing load Look at the connections of wirings in your house. Which are connected in series? Which are connected in parallel? What are the advantages and disadvantages of each type of connection?
64. 64 Safety in Using Electricity Your parents have probably cautioned you about the use of electrical devices even before you reached school age. You were told not to touch electrical outlets or insert anything into it. You were told not to touch any electrical wires in the house. Well they may not have explained it to you back then, but they have valid reasons. Firemen advise homeowners to check the electrical connections in their homes especially the condition of the wires. They advise homeowners to replace exposed electrical wires. Why is there a need to cover exposed wires? You will find the answer in Activity 4. Activity 4 Stay safe! Objectives: After performing this activity, you should be able to: 1. describe the heating effect of current; 2. explain what a short circuit is; and 3. explain the reason behind some safety practices in the use of electricity. Materials Needed: For Activity 4A For Activity 4B 2 dry cells in a battery holder 2 connecting wires 2 connecting wires 2 dry cells in a battery holder 1 fine strand of copper wire (20 cm long) 1 bulb in a bulb holder 2 small blocks of wood 4 thumbtacks 2 short candles Timer Procedure: 4A. What makes it hot? 1. Place two wooden blocks side by side. To keep them from being moved, place masking tape underneath each block to keep them steady on the table. 2. Place two thumbtacks on each wooden block near the space between them. Wrap the copper wire tightly around the thumbtacks as shown, leaving two free
65. 65 ends on the same wooden block. Press the thumbtacks fully until the head of the thumbtacks is just above the wood. Figure 11. Copper wire wrapped around the thumbtacks 3. Place a candle on top of the wires as shown below. Figure 12. A candle on top of the copper wires 4. Connect the two free ends of the copper wire to the battery using the connecting wires. Leave the circuit closed for 30 seconds and then disconnect the battery. Observe the candle. Write your observation and explanation. Figure 13. A circuit with copper wires connected to two dry cells 5. Try adding another dry cell as shown in the circuit using another candle. Repeat steps 3 and 4 and write your observation. Thin copper wire Candle Free ends
66. 66 Figure 14. A circuit with copper wires connected to three dry cells Q19. What happened to the candle for both setups? Q20. When you increase the voltage by adding another dry cell, what happens to the amount of current in the circuit? Q21. Compare the effect on the candle with two dry cells and with three dry cells in the circuit. What is produced in the wires that affected the candle? How does the effect on the candle relate to the amount of current in the wire? 4B. Don't keep it short! 1. Remove about 2 cm insulation from the ends of the connecting wires. 2. Construct a circuit using the bulb, 2 batteries, and connecting wires with exposed parts you made in step 1. Figure 15. A circuit with exposed wires
67. 67 3. Make the exposed parts of the wire touch momentarily. Do not keep them in contact for so long. Q22. What happened to the bulb? 4. Draw the setup and trace the path the current takes when the exposed parts of the wires touch each other. Q23. Explain what happened to the bulb when the exposed wires momentarily touched. Q24. When the exposed wires were momentarily touched the path of current was shortened (hence the term short circuit) compared to the original path which include the bulb. What was the effect on the resistance of the circuit when the path of current was shortened or when a short circuit occurred? Q25. What was the effect on the current when a short circuit occurred? Q26. Why do short circuits cause fire? A short circuit happens when the exposed parts of the electrical wires touch one another. When the exposed wires were made to touch, a shortened path was provided for the current, hence the term short circuit. Since the path has been shortened, current will no longer take the path through the bulb, thereby decreasing the total resistance in the path of current. This will result in a large current in the shortened circuit. Short circuits are dangerous especially with the high line voltage in our houses (220V compare to 1.5V of dry cells) because the large current produced can generate a lot of heat that could start a fire. The current that a wire of given diameter can safely carry is indicated by its current rating. When the current in the circuit exceeds the wire's current rating, an overload of the circuit occurs. Overloading can also generate a lot of heat in the wire that can cause a fire outbreak. In designing electrical installations, engineers estimate the current requirements of appliances and electrical devices the owner intends to use and make these as the basis for selecting the appropriate size of wire in wiring the house. When there are too many appliances plugged into one outlet (also called octopus wiring) the loads are effectively connected in parallel and overloading may also occur. Figure 16 shows an example of octopus wiring. Q27. What happens to the total resistance of the circuit when more and more appliances are connected to one outlet? Q28. What happens to the total current? Q29. Overloading a circuit can start a fire. Explain.
68. 68 Figure 16. Octopus wiring Summary Electric charges can only flow continuously in a complete circuit. The voltage provides the energy that moves the charges in the circuit. The current is determined by the voltage and the total resistance of the circuit. Current is directly proportional to voltage but inversely proportional to resistance. In a series circuit, the loads are connected to form a single pathway for electric charges to pass. In a parallel circuit, the loads are connected to form branches, each of which provides a separate path for current. A short circuit happens when the circuit offers little or no resistance to the flow of charges. This results in a large amount of current in the circuit. When the current in the circuit exceeds the wire's current rating, overload of the circuit occurs. Link All About Circuits. (2003-2012). Ohm's law (again!). Retrieved from http://www.allaboutcircuits.com/vol_1/chpt_3/4.html
69. 69 SOUNDS Overview "Hey I just met you and this is crazy. So here's my number so call me maybe..." This is the popular song of Carly Rae Jepsen. I bet you know this song. Can you sing the other lines? Is this the ring tone of your mobile? What about your ring back tone? Would you want that of Maroon 5's payphone? "Cadd9 I'm at the payphone trying toG call home. Em All of my change I've spentDsus4 on you..." These are cool, lovely tunes, and nice sounds. The Science of Sound has gone all the way from a mere transfer of energy to the creation of tunes and music for entertainment. Most of our gadgets are sound embedded to amuse us. In the field of geology and oceanography, sound is used to determine depths. The health sciences are also using sound for medical purposes. Some animals are dependent on sound for movement. The newest focus of sound science is on ecology where ecological patterns and phenomena are predicted based on sounds released by the different components of the ecosystem. So, are you ready to have fun with sounds? In this module, you will learn sound propagation. While you learn about sound, wave description and characteristics will also be introduced to you. Among the characteristics, you will focus on the speed of sound. You will find out through simple activities through which medium sound travels fastest. You will also find out how the temperature of the medium affects the speed of sound. In the quest to explore more about sound science, you will be acquainted with the properties of waves, specifically reflection and refraction. Through which medium does sound travel fastest- solid, liquid, or gas? How does the temperature of the medium affect the speed of sound? How are reflection and refraction manifested in sound? Unit 1 MODULE 5 Suggested time allotment: 6 to 8 hours
70. 70 Propagation and Characteristics of Sound Have you experienced hearing a sonic boom? Figure 1 shows a whitish cloud at the tail end of the aircraft. This usually happens when the aircraft travels at a speed faster than the speed of sound, i.e., the aircraft travels at supersonic speed producing a sonic boom. A sonic boom happens when the aircraft or any vehicle breaks the sound barrier while it accelerates and outruns the speed of sound. A loud explosive sound is heard on the ground and is called a sonic boom. The aircraft that does this is usually called supersonic. There are more amazing occurrences or phenomena related to sound. Read on and find out.  Sound Propagation Sound consists of waves of air particles. Generally, sound propagates and travels through air. It can also be propagated through other media. Since it needs a medium to propagate, it is considered a mechanical wave. In propagating sound, the waves are characterized as longitudinal waves. These are waves that travel parallel to the motion of the particles. Do all these terms and concepts seem confusing? Let's try the succeeding activities to get a clearer picture of what sound waves are. Figure 3. Propagating Sound Figure 2. Hearing SoundsFigure 1. Supersonic
71. 71 Activity 1 The dancing salt and the moving beads! Objectives: At the end of the activity, you will be able to infer that: 1. sound consists of vibrations that travel through the air; and 2. sound is transmitted in air through vibrations of air particles Materials: 1 rubber band 1 piece of plastic sheet 1 empty large can of powdered milk - 800 g 1 wooden ruler 1 empty small can of evaporated milk - 400 mL rock salt 1 dowel or 1 wooden rod 1 blue bead 4 colored beads 3 inches of tape 2 large books scissors 5 pieces of string paper slinky spring transistor radio Procedure: Part A: Vibrations produce sound 1. Prepare all the materials needed for the activity. Make sure that you find a work area far enough from other groups. 2. Put the plastic tightly over the open end of the large can and hold it while your partner puts the rubber band over it.
72. 72 3. Sprinkle some rock salt on top of the plastic. 4. Hold the small can close to the salt and tap the side of the small can with the ruler as shown in Figure 4. Q1. What happens to the salt? 5. Try tapping the small can in different spots or holding it in different directions. Find out how you should hold and tap the can to get the salt to move and dance the most. Q2. How were you able to make the salt move and dance the most? Q3. What was produced when you tapped the small can? Did you observe the salt bounce or dance on top of the plastic while you tapped the small can? Q4. What made the salt bounce up and down? Q5. From your observations, how would you define sound? 6. Switch on the transistor radio and position the speaker near the large can. Observe the rock salt. 7. Increase the volume of the radio while it is still positioned near the large can. Observe the rock salt again. Q6. What happened to the rock salt as the loudness is increased? Q7. Which wave characteristic is affected by the loudness or the intensity of sound? Part B: Transmitting sound 8. Let 2 books stand up as shown in Figure 5. Place the dowel on top of the 2 books. Figure 4
73. 73 Figure 5. Set up for Activity 1B 9. Cut out an image of a human ear from a magazine and tape it to one of the books. 10. Start with the blue bead. Tape the string to the mark on the dowel that is farthest away from the ear. 11. Then tape the 4 colored beads to the other 4 marks. Make sure that all the beads hang in a straight line. 12. The colored beads represent air particles. Create vibrations (sound) in the air by tapping the blue bead toward the colored beads. Q8. What happens to the other colored beads when the blue bead is tapped? 13. Create more vibrations by continuously tapping the blue bead and observe the other beads. Q9. Are there occasion when the beads converge then expand? 14. If the beads represent air particles, what do the converging and expanding of the beads represent? 15. Connect one end of the slinky to a fixed point. Hold the other end then push and pull the slinky continuously. Record your observations. Q10. Are there converging and expanding parts of the slinky? Q11. How then is sound classified as a wave? 16. This time shake the other end of the slinky while the other end is still connected to the fixed point. Record your observations. Tape ear photo here
74. 74 Were you able to get good sets of data from the activity? Did you enjoy watching the salt dance and the beads move? The salt and the beads represent particles of air when disturbed. The disturbance encountered by the salt and the beads causes the salt to bounce up and down and the beads to move together and spread alternately. In grade 7, you discussed that energy is transferred or transmitted from one object to another. Bouncing salt is also a manifestation of energy transmission. When sound is created by tapping the small can, the wave (sound) is transmitted by air to the larger can causing the plastic cover of the larger can to vibrate transferring energy to the rock salt. And voila!—dancing rock salt! What about the beads? Did you observe the alternating converging and spreading of the beads? Compare this to your observations in the slinky spring. The converging portions of the beads match the compressions in the slinky while the spreading portions are the rarefactions of the slinky. With the compressions and rarefactions, what you were able to produce is called a longitudinal wave. Longitudinal waves are waves that are usually created by pulling and pushing the material or medium just like in the slinky (Figure 6). Alternating compressions and rarefactions are observed. These compressions and rarefactions move along with the direction of the pushing and pulling activity of the material or medium. Thus, the wave moves parallel to the motion of material or the particles of the medium. This is known as a longitudinal wave. Figure 6. Longitudinal wave Figure 7. Transverse wave
75. 75 Let us compare the longitudinal wave with the other kind of wave known as a transverse wave in Figure 7. The compressions resemble the trough while the rarefactions are the crests. Do you still remember these characteristics of waves? The trough is the lowest part of a transverse wave while the crest is the highest portion. The distance from one compression to the next or between two successive compressions in a longitudinal wave equals the wavelength. If you count the number of compressions passing by a certain point in 1 second, you are able to determine the frequency of the longitudinal wave. If you multiply the measured wavelength and the computed frequency you will be able to determine the speed of the wave. In equation, There are other variations in the equation for the speed of the wave. The period of the longitudinal wave is the reciprocal of its frequency . This means that the speed of the wave can be expressed as the ratio of the wavelength and the period, Let us try to compare the characteristics of longitudinal wave with that of the transverse wave in Activity 2. Activity 2 Characteristics of waves: Comparing longitudinal and transverse waves Objectives: At the end of the activity, you will be able to: 1. distinguish the different characteristics of waves; 2. determine their frequency and wavelength; and 3. compute the wave speed based on the frequency and wavelength Materials: Pentel pen or permanent marker stopwatch or mobile phone meterstick old calendar (big poster calendar) or old newspaper metal slinky
76. 76 Procedure: 1. Place the old calendar or old newspaper on the floor. Make sure that the newspaper or old calendar is long enough to accommodate the full length of the slinky spring. 2. Put the slinky on top of the old newspaper or old calendar. Ask one of your groupmates to hold one end of the slinky at the one end of the newspaper. This will serve as the fixed end. 3. Another groupmate will hold the other end of the slinky. This is the movable end. 4. The other members of the group should be along the sides so they can mark the corresponding crests. Identify a reference point (point A) along the slinky from which you are going to base your frequency count. 5. Shake the movable end. Apply just enough force to create large wave pulses. Make sure, however, that the crest and trough parts will still be formed within the newspaper area. 6. Another groupmate should count the number of pulses passing through point A in a minute. This is the frequency in waves per minute. You can convert this later to waves per second. 7. While your classmate is creating transverse waves by shaking the slinky, note by marking on the newspaper the crest and the trough of the created wave pulses. 8. Trace the wave form then measure the wavelength of the wave pulses. Record all your data on the answer sheet provided. 9. Repeat steps 5 to 8 for two more trials. Compute for the wave speed in each of the 3 trials. Determine also the average speed of the wave in the slinky. 10. For the second set up, repeat the whole procedure (steps 1 to 9) but this time instead of shaking the slinky, pull and push the slinky to create a longitudinal wave. 11. Note and mark the areas/regions in the newspaper where the slinky forms compressions and rarefactions. 12. Count the number of compressions passing through point A in a minute. This is the frequency of the longitudinal wave in waves per minute. 13. Measure the length between 2 compressions. This is the wavelength of the longitudinal wave.

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