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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Name Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 1 of 63 1. An amusement park ride has two identical carriages that revolve around the center of the ride’s axle, as shown in the figure. Both carts travel at a constant tangential speed at all points along the circular path. At what position is the total mechanical energy of the cart-cart-Earth system at its maximum value?
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 2 of 63 A
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 3 of 63 B
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 4 of 63 C D The total energy of the Earth-Ferris wheel ride is constant.
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 5 of 63 2. initially at rest, and the mass of Object is greater than the mass of Object . As Object falls, how does the gravitational potential energy of the Object -Object -Earth system change? All frictional forces are considered to be negligible. A The gravitational potential energy increases because the center of mass of Object and Object moves upward. B The gravitational potential energy increases because the center of mass of Object and Object moves downward. C The gravitational potential energy decreases because the center of mass of Object and Object moves upward. D The gravitational potential energy decreases because the center of mass of Object and Object moves downward. Objects and are connected by a string of negligible mass and suspended vertically over a
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 6 of 63 3. A block of mass is released from rest at point 1, as shown in the figure. The block slides without frictional forces along the circular arc but encounters frictional forces as soon as it reaches the horizontal portion of the track at point 2. The block travels a distance along the horizontal track before coming to rest at point 3. Consider the block-Earth system. In terms of the mechanical energy of the system, which of the following claims is correct, and why? A The system is open, because there is a net force exerted on the block. B The system is open, because the block’s velocity is zero at points 1 and 3. C The system is closed, because there is a net force exerted on the block. D The system is closed, because the block’s velocity is zero at points 1 and 3.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 7 of 63 4. An inclined track is secured to a table. The height of the highest point of the track above the tabletop is . The height from the tabletop to the floor is . A block of mass is released from rest and slides down the track such that all frictional forces are considered to be negligible. The block leaves the track horizontally and strikes the ground at a distance from the edge of the track as shown. Which of the following statements is correct about the scenario? Select two answers. A If the block is released from a height , the block will land at a distance away from the end of the track. B If the block’s mass is increased to , the block will land at a distance away from the edge of the track. C The total mechanical energy of the system containing only the block increases from the moment of release to the moment it strikes the ground. D The total mechanical energy of the block-Earth system remains constant. 5. This question is a long free-response question. Show your work for each part of the question.
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 8 of 63 A block is initially at rest on top of an inclined ramp that makes an angle with the horizontal. The base of the ramp has a length of . After the block is released from rest, it slides down the ramp onto a rough horizontal surface until it comes to rest at a position from the base of the ramp, as shown in the figure. There is negligible friction between the block and the inclined ramp, while the coefficient of kinetic friction between the block and the rough horizontal surface is . (a) On the axes below, sketch and label graphs of the following quantities as a function of the position of the block between and . Calculations for values for the vertical axis are not necessary, but the same vertical scale should be used for both quantities. i. The kinetic energy of the block Please respond on separate paper, following directions from your teacher. ii. The gravitational potential energy of the block-Earth system Please respond on separate paper, following directions from your teacher. (b) The block is released from the top of a new ramp that has a base length of , but still
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 9 of 63 makes an angle with the horizontal. A student is asked to predict whether the final horizontal position of the block will be twice as far from the base of the ramp compared to when it was released from the original ramp. The student reasons that since the block will be released from a new height that is twice as high as the original height, the block will have more energy when it reaches the base of the ramp, so it will slide farther along the right surface before stopping at a position . i. Which aspects of the student’s reasoning, if any, are correct? If no aspect of the student’s reasoning is correct, write “none”. Please respond on separate paper, following directions from your teacher. ii. Which aspects of the student’s reasoning, if any, are incorrect? If no aspect of the student’s reasoning is incorrect, write “none”. Please respond on separate paper, following directions from your teacher. (c) Derive an equation for the new final position of the block. Express your answer in terms of . Please respond on separate paper, following directions from your teacher. (d) In the following question, refer to the relationships written in part (c), not just the final answer obtained by manipulating those relationships. For any correct aspects of the student’s reasoning identified in part (b)(i), how is the student’s reasoning expressed by your mathematical relationships in part (c) ? For any incorrect aspects of the student’s reasoning identified in part (b)(ii), how do your relationships in part (c) correct the student’s incorrect reasoning? Please respond on separate paper, following directions from your teacher.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 10 of 63 6. A block is pushed up an incline that makes a angle with the horizontal, as shown in the figure. Once the block is pushed a distance of up the incline, the block remains at rest. What is the approximate change in the gravitational potential energy of the block-Earth system when the block is held at rest compared to its original location at the bottom of the incline? A B C D
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 11 of 63 7. An object of mass is attached to a string of negligible mass and spun in a vertical circle of radius , as shown in the figure above. As the object’s height increases, its speed decreases such that the object-Earth system’s total mechanical energy remains constant. By how much does the object’s kinetic energy decrease in moving from point , the lowest point on the circle, to point , the highest point on the circle? A B C D
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 12 of 63 8. The Atwood’s machine shown consists of two blocks of mass and that are connected by a light string that passes over a pulley of negligible friction and negligible mass. The block of mass is a distance above the ground, and the block of mass is a distance above the ground. is larger than . The two-block system is released from rest. Which of the following claims correctly describes the outcome after the blocks are released from rest but before the block of reaches the ground? Select two answers. A For the system consisting of the two blocks, the change in the kinetic energy of the system is equal to the work done by gravity on the system. B For the system consisting of the two blocks, the change in kinetic energy of the system is equal to the sum of . C For the system consisting of the two blocks and the pulley, the increase in kinetic energy of the system is equal to the decrease in the gravitational potential energy of the system. D For the system consisting of the two blocks, the pulley, and Earth, the change in the total mechanical energy of the system is zero.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 13 of 63 9. An object is released from rest near and above Earth’s surface from a distance of . After applying the appropriate kinematic equation, a student predicts that it will take for the object to reach the ground with a speed of . After performing the experiment, it is found that the object reaches the ground after a time of . How should the student determine the actual speed of the object when it reaches the ground? Assume that the acceleration of the object is constant as it falls. A Use but use the new time rather than and the vertical acceleration equal to since all other quantities are known. Solve for . B Use with the vertical acceleration equal to since all other quantities are known. Solve for . C Use since the conservation of mechanical energy applies in this scenario, and the initial height above the ground is known. Solve for . D Use to determine the acceleration of the object as it falls since all other quantities are known. Then use with since all other quantities are known. Solve for . 10. An object initially at rest falls from a height until it reaches the ground. Two of the following energy bar charts represent the kinetic energy and gravitational potential energy of the object-Earth system at two positions. The first position is when the object is initially released, and the second position is when the object is halfway between its release point and the ground. Which two charts could represent the mechanical energy of the object-Earth system? Select two answers. A
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 14 of 63 B C
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 15 of 63 D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 16 of 63 11. A block of mass is attached and secured to one end of a spring with spring constant . The other end of the spring is secured to a wall. The block is pushed against the spring, which compresses the spring to a position of . When uncompressed, the end of the spring that is attached to the block is at a position of . The block-spring system is then released from rest, and the block travels along a horizontal, rough track. A motion sensor is placed so that it measures the velocity of the object as it slides along the track. A graph of total mechanical energy of the block-spring system as a function of position is shown. Which of the following statements about the block-spring system are true? Select two answers.
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 17 of 63 A The force exerted on the block by the spring at is . B The block has maximum speed at . C The block has half the initial spring potential energy at . D The work done by friction as the block travels from to is . 12. An experiment is conducted such that an applied force is exerted on a object as it travels across a horizontal surface in which frictional forces are NOT considered to be negligible. A graph of the net force exerted on the object as a function of the object’s distance traveled is shown. How could a student use the graph to determine the net work done on the object?
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 18 of 63 A Multiply the average value of the applied force by the total distance the object traveled. B Multiply the slope of the best fit line by the total distance the object traveled. C Calculate the area bound by the line of best fit and the horizontal axis from to . D There is not enough information that is known or can be obtained from the graph to determine the net work done on the object. 13. The surface of an incline is coated with an experimental substance that is intended to reduce the frictional force between a block and the surface of the incline. A block is placed at the top of the incline at a height of , as shown in the figure. After the block is released from rest, the block slides down the incline and a motion detector at the bottom of the incline measures the block’s speed as after the block is no longer on the incline. Which of the following claims is correct about the experimental substance?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 19 of 63 A The experimental substance reduced all the frictional force because all the gravitational potential energy of the Earth-block system at the top of the incline was converted into the kinetic energy of the block at the bottom of the incline. B The experimental substance did not reduce all the frictional force because some of the gravitational potential energy of the Earth-block system at the top of the incline was converted into nonmechanical energy. C The effectiveness of the experimental substance cannot be determined because the speed of the block at the bottom of the inline, as measured by the motion detector, indicates that the block has more energy at this location than the Earth-block system had at the top of the incline. D The effectiveness of the experimental substance cannot be determined without knowing the magnitude of the frictional force between the block and the incline before and after the experimental substance was applied to the incline. A student is conducting an experiment to analyze the mechanical energy of a block-spring system. The student places a block of mass 2kg on a horizontal surface and attaches the block to a horizontal spring of negligible mass and spring constant 100N/m, as shown in the figure. There is negligible friction between the block and the horizontal surface. The other end of the spring is attached to a wall. The block- spring system is initially at the spring’s equilibrium position. 14. The student wants to collect data of the block-spring system that can be used to determine the work done on the spring by the block when the spring is compressed. Which of the following includes only the measuring devices that the student will need in order to collect the data?
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 20 of 63 A Force probe and meterstick B Stopwatch and meterstick C Stopwatch and force probe D Force probe, stopwatch, and meterstick 15. Based on data collected from the experiment, the student creates the graph that shows the force exerted on the spring as a function of the distance the spring is compressed. How can the student use the data to experimentally determine the work done on the spring by the block?
AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 21 of 63 A Determine the slope of the line of best fit through the data from to . B Determine the area bound by the line of best fit through the data and the horizontal axis from to . C Use the maximum value of the force exerted on the spring and multiply that value by the maximum distance that the spring is compressed. D This graph cannot be used to determine the work done by the block on the spring because the force exerted on the spring by the block is not constant.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 22 of 63 16. A student conducts an experiment in which an object is released from rest and falls to the floor. In the experiment, frictional forces CANNOT be neglected. The student uses experimental data to create two graphs. Figure 1 is a graph of kinetic energy of the object as a function of time. Figure 2 is a graph of the object-Earth system’s gravitational potential energy as a function of time. How should the student use one or both graphs to determine how much the total mechanical energy changes after ?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 23 of 63 A Calculate the magnitude of the difference between the final kinetic energy of the object and the final kinetic energy of the object by using the graph in Figure 1. B Calculate the magnitude of the difference between the final gravitational potential energy of the system and the initial gravitational potential energy of the system by using the graph in Figure 2. C Calculate the magnitude of the difference between the final kinetic energy of the object found from the graph in Figure 1 and the final gravitational potential energy of the object-Earth system found from the graph in Figure 2. D Calculate the magnitude of the difference between the final kinetic energy of the object found from the graph in Figure 1 and the initial gravitational potential energy of the object-Earth system found from the graph in Figure 2. 17. A block on a horizontal surface is placed in contact with a light spring with spring constant , as shown in Figure 1. When the block is moved to the left so that the spring is compressed a distance from its equilibrium length, the potential energy stored in the spring-block system is . When a second block of mass is placed on the same surface and the spring is compressed a distance , as shown in Figure 2, how much potential energy is stored in the spring compared to the original potential energy ? All frictional forces are considered to be negligible.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 24 of 63 A B C D A conveyor belt ramp of length 7m is inclined at 20° with respect to the horizontal and is used to move objects from one location to another location. When an object is placed on the conveyor belt, the object travels up the incline with a constant speed of 1.5ms . A motor is used to keep the conveyor belt moving. The mass of the objects that are placed on the conveyor belt are varied. 18. Suppose the motor breaks and a person must push an object of mass from the bottom of the incline to the top of the incline. The person can exert a force of on the object parallel to the incline. What is the approximate amount of work that the person does on the object to move it to the top of the incline? Assume that all frictional forces are negligible.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 25 of 63 A B C D 19. happens to the mechanical energy of the system while the object is moving from the bottom of the ramp to the top of the ramp? A The mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp. B The mechanical energy of the object decreases because the force due to gravity from Earth does negative work on the object as it moves up the ramp. C The mechanical energy of the object is constant because the kinetic energy of the object is constant. D A determination of the change of the mechanical energy of the object cannot be made without knowing the power of the motor that is used to move the conveyor belt. 20. Object and object are placed on the incline such that the motor moves the conveyor belt. The mass of object is greater than the mass of object . After both objects have been placed on the conveyor belt and travel at a constant speed, how does the rate of change of the gravitational potential energy of the object –Earth system per unit of time compare to that for the object –Earth system ? For the system that only includes the object, which of the following claims best describes what
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 26 of 63 A , because the speed of the conveyor belt remains constant and both objects move at the same constant speed. B , because the speed of the conveyor belt remains constant and both objects move at a constant speed. C , because object has a greater mass than object . D , because object has a greater mass than object . 21. Two blocks of the same mass but made of different material slide across a horizontal, rough surface and eventually come to rest. A graph of the kinetic energy of each block as a function of position along the surface is shown. Which of the following is a true statement about the frictional force that is exerted on the two blocks?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 27 of 63 A , since the force of friction is represented as the slope for each of the two curves. B , since the force of friction is represented as the inverse slope for each of the two curves. C , since the force of friction is represented as the inverse of the area bound by each curve and the horizontal axis. D , since the force of friction is represented as the area bound by each curve and the horizontal axis. A student conducts an experiment in which an object is released from rest above a motion detector so that data can be collected about the object’s motion as the object falls to the ground. The experiment is conducted near Earth’s surface. All frictional forces are considered to be negligible unless otherwise stated. 22. The student collects the data necessary to graph the object’s kinetic energy as a function of time, as shown. Which of the following graphs represents the sum of the kinetic energy and gravitational potential energy of the object-Earth system as a function of time?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 28 of 63 A B
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 29 of 63 C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 30 of 63 23. The student wants to collect data to determine the work done by the force due to gravity on the object as it falls. Which of the following lists contains the fewest number of measuring devices, in addition to the motion detector, that the student can use? A Spring scale B Spring scale and meterstick C Stopwatch and meterstick D Spring scale, meterstick, and stopwatch 24. A graph of the net force exerted on an object as a function of position is shown for the object of mass as it travels a horizontal distance . Which expression represents the change in the kinetic energy of the object?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 31 of 63 A B C D 25. A object is released from rest near and above Earth’s surface such that the object-Earth system’s gravitational potential energy as a function of time is shown in the graph. Which of the following graphs represents the kinetic energy of the object as a function of time? Assume all frictional forces are considered to be negligible.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 32 of 63 A B
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 33 of 63 C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 34 of 63 26. Consider a system of two objects and Earth. Object and object are held together by a light string as shown in the figure. is larger than . The two-object system is released from rest in the orientation shown in the figure at a height above Earth’s surface. The change in the kinetic energy of the system from when it is released to the instant it hits the ground is most nearly A B C D 27. A block of mass is sliding with an initial speed along a horizontal surface with negligible friction. A constant force of magnitude is exerted on the object at an upward angle of from the horizontal, causing the object to speed up. If the block remains in contact with the floor, what is the change in the block’s kinetic energy as it moves a horizontal distance ? A B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 35 of 63 28. A block of mass is launched by a spring of negligible mass along a horizontal surface of negligible friction. The spring constant of the spring is . The spring is initially compressed a distance . The block is released from rest. Some time after the block is released and travels in the direction shown in the figure, the spring compression is . Which of the following mathematical calculations can a student use to determine the speed of the block at this new position? A . Solve for . B . Solve for . C and . Solve for . D and . Solve for .
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 36 of 63 29. An object is released from rest at a height near and above the surface of Earth. As the object falls toward the surface, Earth’s atmosphere exerts a resistive force on the object such that it reaches a terminal velocity before it reaches the ground. Which of the following claims is true? Select two answers. A The system consisting of only the object is an open system. B Earth’s atmosphere does negative work on the object as it falls toward the surface. C The change in the object’s kinetic energy from the instant it is released from rest, to the instant it reaches terminal velocity, is zero. D The total mechanical energy of the object-Earth system remains constant at all times in which the object is in motion.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 37 of 63 30. A block of mass is released from rest and slides down an incline, as shown in the figure. The length of the incline is and the angle of the incline, , is . A graph of the speed as a function of time of the block as it descends the incline is shown. How could a student use the graph and the information provided to determine whether the block-Earth system is an open system or a closed system?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 38 of 63 A Use the known mass of the block and the final velocity of the block after to determine the final kinetic energy of the block. B Use the known length of the incline and the known angle that the incline makes with the horizontal to determine the height above the ground at which the block is released. Use this height and the object’s known mass to determine the initial gravitational potential energy of the block-Earth system. C Use the known mass of the block and the initial velocity of the block at to determine the initial kinetic energy of the block. Compare it with final kinetic energy of the block that can be found as described above. D Determine final kinetic energy as described above and compare it with the initial gravitational potential energy of the block-Earth system as described above. 31. A person starting from rest at point swings along a circular arc from a rope, as shown above. Point is at a lower height than point . What is the trajectory of the person when the person lets go of the rope at Point ?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 39 of 63 A B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 40 of 63 32. A planet moves in an elliptical orbit around a star, as shown in the diagram. Which of the following is true as the planet moves from position 1 to position 2? A The planet loses kinetic energy due to negative gravitational work; thus, the total energy in the planet-star system decreases. B The planet’s kinetic energy increases due to positive gravitational work; thus, the total energy in the planet-star system increases. C Kinetic energy decreases and gravitational potential energy increases, but the total energy in the planet-star system stays constant. D Potential energy decreases and kinetic energy increases, but the total energy in the planet-star system stays constant.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 41 of 63 33. The small block shown in the figure above was released from rest at point and slid down the track such that friction was considered to be negligible. The block reached point with speed . Between points and , what kind of work did the track do on the block, and why? A Positive work, because the block’s kinetic energy increased. B Positive work, because a component of the gravitational force is directed along the track, making the block gain kinetic energy. C Zero work, because the average force exerted by the track on the block is zero. D Zero work, because the track does not exert a force on the block directed along the block’s direction of motion. 34. This question is a short free-response question. Show your work for each part of the question.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 42 of 63 A sphere of mass is attached to one end of a rigid stick of negligible mass. The other end of the stick is fixed in place so that the sphere can move in a circular path of radius , as shown in Figure 1.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 43 of 63 (a) The sphere is released from rest with the stick at an angle of 60 degrees from the vertical, as shown in Figure 2. Derive an expression for the speed of the sphere when it is at point , the bottommost point of the circular path. Please respond on separate paper, following directions from your teacher.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 44 of 63 (b) An external force is exerted on the sphere to speed it up. After the force is removed, the sphere has enough speed to move in a complete circle, as shown in Figure 3. The angle is equal to zero when the sphere is at point and is 180 degrees when the sphere is at point , the topmost point of the circular path. Please respond on separate paper, following directions from your teacher. i. On the axes shown, sketch a possible graph of the potential energy of the sphere-Earth system as a function of . Label the graph “ .” Please respond on separate paper, following directions from your teacher. ii. On the same axes, sketch a possible graph of the kinetic energy of the sphere as a function of the . Label this graph “ .”
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 45 of 63 Please respond on separate paper, following directions from your teacher. iii. When the sphere makes a complete revolution around its circular path, does it spend more time in the top half of the circle, more time in the bottom half of the circle, or the same amount of time in both halves of the circle? Briefly state your reasoning. Please respond on separate paper, following directions from your teacher.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 46 of 63 35. A block of mass is at rest on a ramp that is inclined at an angle with respect to the horizontal. Frictional forces are considered to be nonnegligible. The block is pushed against a spring and then held in place. The spring is compressed a distance of , and the spring is not secured to the block. The block is then released from rest, travels up the incline, and comes to rest after traveling a distance , as shown above. Which of the following claims correctly describes the energy of the system under consideration from when the block compressed the spring and when the block has traveled a distance along the incline? Select two answers. A The mechanical energy of the system consisting of the spring increases by . B The mechanical energy of the system consisting of the block does not change. C The mechanical energy of the system consisting of the block and Earth increases by more than zero but less than . D The mechanical energy of the system consisting of the spring, block, and Earth increases by .
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 47 of 63 36. A block of mass is attached to one end of a spring with spring constant . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy and spring potential energy of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 48 of 63 A Use with equal to the distance the spring is compressed. Then multiply the value by the spring constant of the spring. Then multiply this value by equal to the total displacement of the center of mass of the block. B Subtract the final kinetic energy of the block-spring system from the initial spring potential energy stored within the block-spring system. C Use with equal to and equal to the maximum compression of the spring. D Use the value of the kinetic energy of the block-spring system when the block is at a position of . 37. A planet orbits a star along an elliptical path, as shown in the figure above. How do the planet’s kinetic energy and the total mechanical energy of the star-planet system change as the planet moves from point X to point Y?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 49 of 63 A Planet’s Kinetic Energy System’s Total Mechanical Energy Increases Remains the same B Planet’s Kinetic Energy System’s Total Mechanical Energy Increases Increases C Planet’s Kinetic Energy System’s Total Mechanical Energy Decreases Remains the same D Planet’s Kinetic Energy System’s Total Mechanical Energy Decreases Decreases
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 50 of 63 38. A student swings a ball at the end of a string of length in a vertical circle as shown. The ball moves with the minimum speed necessary to complete a circular path at point 1. Consider the system of the ball. In terms of the mechanical energy of the system, which of the following claims is correct, and why? A The system is open, because the ball is able to complete a full revolution around the circle. B The system is open, because a net force is exerted on the ball as it travels in a circle. C The system is closed, because the ball is able to complete a full revolution around the circle. D The system is closed, because the speed of the ball remains constant as it travels in the vertical circle.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 51 of 63 39. Three identical massive bodies are at the corners of an equilateral triangle, each a distance from the center of mass of the other two bodies, as shown in the figure. Each body has mass . What is the gravitational potential energy of the three-body system? A Zero B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 52 of 63 40. The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and is greater than . Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy and total kinetic energy of the block-block-Earth system as a function of the height of block ?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 53 of 63 A
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 54 of 63 B
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 55 of 63 C
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 56 of 63 D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 57 of 63 41. Blocks and are connected by a string that passes over a pulley, as shown in the figure. Block has more mass than Block . The string and pulley have negligible mass, and the pulley rotates with negligible friction. After the blocks are released from rest, what happens to the mechanical energy of the system consisting of the two blocks and Earth? A decreases. B remains constant. C increases. D The change of cannot be determined without knowing the ratio of the blocks’ masses and their initial distances from Earth’s surface.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 58 of 63 42. Figure 1 shows the kinetic energy as a function of time for a object that is released from rest and falls toward Earth’s surface. Figure 2 shows the kinetic energy as a function of time for a object that is released from rest and falls toward Earth’s surface. Both objects are released simultaneously from the same height. How much does the gravitational potential energy of the object-object-Earth system change from to ? A B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 59 of 63 43. A block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance above the ground. The angle between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after . The block’s velocity as a function of time is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 60 of 63 A Use with and equal to the area bound between the horizontal axis and the curve. B Use with and equal to the final velocity of the object that can be found from the graph. C Use with equal to the normal force exerted on the block and equal to the area bound between the horizontal axis and the curve. D The answer cannot be determined without knowing the initial height of the object above the ground. 44. A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy? A B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 61 of 63 45. A cart is going around a circular loop, as shown in the figure. The cart moves with the smallest speed necessary to stay in contact with the loop to complete a circular path at point 1. What is the speed of the cart at point 2? A Zero B C D
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 62 of 63 46. A student wants to approximate the amount of work that the force due to gravity does on the student as the student walks up a set of stairs. Which of the following measurements must the student collect in order to approximate the amount of work done by Earth on the student? Select two answers. A The mass of the student. B The angle between the inclined portion of the stairs and the horizontal. C The total inclined length of the stairs. D The final vertical height above the initial vertical position.
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AP Physics 1 Test Booklet Unit - 4 Question Bank (Work and Energy) Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 63 of 63 47. An experiment is conducted such that an applied force is exerted on a object as it travels across a horizontal surface. A graph of the net force exerted on the object as a function of the object’s distance traveled is shown. How could a student use the graph to determine the work done by the applied force? A Multiply the maximum value of the applied force by the total distance the object traveled. B Multiply the weight of the object by the total distance traveled by the object. C Calculate the slope of the line of best fit. D Calculate the area bound by the line of best fit and the horizontal axis from to .
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