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8th Grade
Energy of Objects in Motion Classwork-Homework
2015-08-25 www.njctl.org
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Classwork #1: Energy
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SLIDE 2 1 Define Energy.
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2 What two things are necessary for work to be done on an object?
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3 How can you determine the amount of work done
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4 What would happen to an object’s velocity if positive work was done on an object?
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5 Based on the diagram below, is positive or negative work being done on the object? Explain.
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6 Based on the graph below, is positive or negative work being done on the object? Explain.
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SLIDE 4 7 A ball is dropped from the roof of the building. The ball initially had 100 J of energy. Just as it landed, it had 90 J or energy.
- a. How much work was done on the ball as it fell?
- b. What did the work?
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8 What are the two major forms of energy?
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9 What is the definition of mechanical energy?
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10 What is the definition of non-mechanical energy?
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Homework: Energy
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11 What would happen to an object’s velocity if no work was done on the object?
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SLIDE 6 12 Based on the diagram below, is the person’s speed increasing or decreasing due to air resistance. Explain in terms of work being done on the person.
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13 At what time on the graph below does the object start to experience negative work being done on it? Explain.
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14 An adult is driving a car which has 50 J of energy. At the end of the drive, the car still had 50 J of
- energy. How much work was done on the car
during the drive?
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15 What are the two forms of mechanical energy?
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16 Name two examples of non-mechanical energy.
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Classwork #2: Kinetic Energy
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17 What two factors does kinetic energy depend upon?
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18 If an object is accelerating, how does its kinetic energy change? Justify your answer.
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19 If a mouse and an elephant have the same kinetic energy, can you determine which one is running faster? Explain.
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20 If an object’s speed is doubled, how does its kinetic energy change?
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21 If the mass of an object is doubled, how does its kinetic energy change?
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22 How much kinetic energy does an 80 kg man have while running at 3 m/s? Show your work.
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23 A 6 kg object has a speed of 20 m/s. What is its kinetic energy? Show your work.
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24 A 1000 kg car’s velocity increases from 5 m/s to 10 m/s. What is the change it the car’s kinetic energy? Show your work.
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25 What is the SI unit for kinetic energy?
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Homework: Kinetic Energy
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26 When is the only time that an object has no k inetic energy?
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27 If an object is decelerating, how does its kinetic energy change?
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28 How can a more massive object have the same kinetic energy as a less massive object ?
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29 If an object’s speed is cut in half, how does its kinetic energy change?
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30 If the mass of an object is cut in half, how does its kinetic energy change?
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31 How much kinetic energy does a 4 kg cat have while running at 9 m/s? Show your work.
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32 A 2 kg watermelon is dropped from a roof and has a speed of 5 m/s just before it hits the ground. How much kinetic energy does the watermelon have at this moment? Show your work.
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33 A 700 kg horse is running with a velocity of 5 m/s. How much larger is the horse’s kinetic energy compared to a 100 kg man running at the same speed?
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Classwork #3: Gravitational Potential Energy
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34 What three factors does gravitational potential energy depend upon?
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35 If an object is thrown up in the air, how does its gravitational potential energy change? Explain.
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36 If an object is falling, how does its gravitational potential energy change? Explain.
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37 How does your gravitational potential energy change if you are placed on the moon where gravity is lower than on Earth?
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38 If the mass of an object is cut in half, how does its gravitational potential energy change?
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SLIDE 16 39 A 1 kg ball is thrown up in the air and reaches a height of 5 m. What is its gravitational potential energy at that moment? Show your work.
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40 A 200 kg boulder is sitting on top of a 10 m high
- hill. What is the boulder’s gravitational potential
energy? Show your work.
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41 What is the gravitational potential energy of a 450 kg car at the top of a 25 m parking garage? Show your work.
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42 A 2.0 kg toy falls from 2 m to 1 m. What is the change in GPE? Show your work.
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43 A small, 3 kg weight is moved from a height of 5 m to a height of 8 m. What is the change in potential energy? Show your work.
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Homework: Gravitational Potential Energy
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44 When is the only time that an object has no gravitational potential energy?
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45 How does your gravitational potential energy change if you are placed on Jupiter where gravity is larger than on Earth?
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46 If the mass of an object is doubled, how does its gravitational potential energy change?
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47 What is the SI unit for gravitational potential energy?
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48 A 75 kg skydiver is spotted at a height of 1000 m above the Earth’s surface. How much gravitational potential energy does the skydiver possess? Show your work.
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49 A placekicker in football is attempting a field goal and kicks a 0.75 kg football. The football hits the crossbar that is 3.1 m tall. How much gravitational potential energy does the ball have when it hits the crossbar? Show your work.
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SLIDE 20 50 The “Green Monster” is the name for the left field wall at Fenway Park and is 11.33 m tall. How much gravitational potential energy does a 0.2 kg baseball have when it just clears the wall? Show your work.
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51 An 80 kg person falls 60 m off of a waterfall. What is her change in GPE? Show your work.
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52 A 0.25 kg book falls off a 2 m shelf on to a 0.5 m
- chair. What was the change in GPE? Show your
work.
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Classwork #4: Elastic Potential Energy
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53 What two factors does elastic potential energy depend upon?
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54 Define the term spring constant?
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SLIDE 22 55 The same spring is stretched by 1 meter and then compressed by 1 meter. In which case will the spring have more elastic potential energy stored in it? Explain.
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56 Two identical springs are stretched. Spring A is stretched 1 meter while spring B is stretched 2
- meters. Which spring will have more elastic
potential energy stored in it? Explain.
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57 If a spring is stretched three times as far, by what factor does its elastic potential energy change? Does it increase or decrease?
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58 A spring with a spring constant of 500 N/m is stretched 1 meter in length. How much elastic potential energy does the spring have stored in it? Show your work.
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59 A spring with a spring constant of 250 N/m is stretched 0.5 meters. How much elastic potential energy does the spring have stored in it? Show your work.
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60 A spring with a spring constant of 100 N/m is compressed by 0.25 meters. How much elastic potential energy does it have stored in it? Show your work.
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Homework: Elastic Potential Energy
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61 What is meant when a spring has a "relaxed" length?
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62 Two springs are stretched to the same distance. If spring A has a spring constant of 200 N/m and spring B has a spring constant of 400 N/m, which spring has more elastic potential energy stored in it? Explain.
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SLIDE 25 63 A spring with a spring constant of 100 N/m is not
- stretched. How much elastic potential energy
does the spring have stored in it?
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64 A spring with a spring constant of 200 N/m is stretched 1 meter in length. How much elastic potential energy does the spring have stored in it? Show your work.
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65 A spring with a spring constant of 500 N/m is compressed 0.5 meters. How much elastic potential energy does the spring have stored in it? Show your work.
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66 A rubber band with a spring constant of 150 N/m is stretched by 0.25 meters. How much elastic potential energy does it have stored in it? Show your work.
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Classwork #5: Conservation of Energy
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Questions 67 - 71 refer to the diagram below, which shows a block starting from rest at 30 m.
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67 At which position does the block have maximum gravitational potential energy? Explain.
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68 At which position does the block have maximum elastic potential energy? Explain.
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69 At which position does the block have maximum kinetic energy? Explain.
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SLIDE 28 70 At which position does the block have maximum total energy? Explain.
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71 Suppose the block has a mass of 10 kg. Show your work for the following questions.
- a. What is the block's kinetic energy at position B
if its velocity is 19.8 m/s?
- b. What is the block's gravitational potential
energy at position B?
- c. Using your answers from (a) and (b), determine
the block's total energy at position B.
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Questions 72 – 75 refer to the diagram below that shows a person jumping on a trampoline.
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72 At which position does the person have maximum gravitational potential energy? Explain.
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73 At which position does the trampoline have maximum elastic potential energy? Explain.
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74 At which position does the person have maximum kinetic energy? Explain.
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75 At which position does the person have maximum total energy? Explain.
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Homework: Conservation of Energy
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Questions 76-80 refer to the diagram below which shows a ball dropped from rest at a height of h0.
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76 At which position does the ball have maximum gravitational potential energy? Explain.
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77 At which position does the ball have maximum elastic potential energy? Explain.
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78 At which position does the ball have maximum kinetic energy? Explain.
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SLIDE 32 79 At which position does the ball have maximum total energy? Explain.
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80 The amount of total energy the ball possesses is 0.14 J. The mass of the ball is 0.005 kg. Use this information to answer the following:
- a. How much gravitational potential energy does
the ball possess at h 1= 1.5 m? Show your work.
- b. How much kinetic energy does the ball
possess at h1= 1.5 m? Show your work. (Hint: Use the total energy and GPE of the ball.)
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Questions 81-86 refer to the diagram below, which shows a roller coaster cart that starts from rest at a height of 30m.
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81 At which position does the car have maximum gravitational potential energy? Explain.
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82 At which position does the car have maximum elastic potential energy? Explain.
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83 At which position does the car have maximum kinetic energy? Explain.
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84 Where does the car have both GPE and KE, but more GPE? Explain.
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85 At which position does the car have maximum total energy? Explain.
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86 The car has a mass of 500 kg and moves with a speed of 9.9 m/s at position C. What is the total energy of the car? (Hint: the car possesses KE and GPE at position C. Also remember that TE is the sum of KE and PE.)
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Classwork #6: Types of Energy Resources
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87 What is the difference between renewable resources and non-renewable resources?
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88 List two examples of a renewable energy resource.
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89 List two examples of a non-renewable energy resource.
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90 Explain how one of the energy resources we talked about in class demonstrates the law of conversation of energy.
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Homework: Types of Energy Resources
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91 Explain the role of a turbine in "creating" electrical energy.
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92 How does a hydroelectric power plant transfer both potential and kinetic energy into electric energy?
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93 What type of energy resource does not use a turbine to convert mechanical energy into electrical energy?
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94 Why are fossil fuels considered to be non- renewable energy resources?
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95 Why are fossil fuels not considered clean energy resources?
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