Download Energy Castle Learning

Name: ____________________________________
Teacher: Ms. Dolley
1. A ball is dropped from the top of a cliff. Which graph best represents the relationship between the ball’s total energy and
elapsed time as the ball falls to the ground? [Neglect friction.]
1. 3. 2. 4. 2. The diagram below shows a moving, 5.00-kilogram cart at the foot of a hill 10.0 meters high. For the cart to reach the top of
the hill, what is the minimum kinetic energy of the cart in the position shown? [Neglect energy loss due to friction.]
1. 4.91 J 3. 250. J
2. 50.0 J 4. 491 J
3. A pendulum is made from a 7.50-kilogram mass attached to a rope connected to the ceiling of a gymnasium. The mass is
pushed to the side until it is at position A, 1.5 meters higher than its equilibrium position. After it is released from rest at position
A, the pendulum moves freely back and forth between positions A and B, as shown in the diagram below. What is the total amount of kinetic energy that the mass has as it swings freely through its equilibrium position? [Neglect friction.]
1. 11 J 3. 110 J
2. 94 J 4. 920 J 4. The work done on a slingshot is 40.0 joules to pull back a 0.10-kilogram stone. If the slingshot projects the stone straight up
in the air, what is the maximum height to which the stone will rise? [Neglect friction.]
1. 0.41 m 3. 410 m
2. 41 m 4. 4.1 m
5. The graph below represents the kinetic energy, gravitational potential energy, and total mechanical energy of a moving block.
Which best describes the motion of the block?
1. 2. 3. 4. accelerating on a flat horizontal surface
sliding up a frictionless incline
falling freely
being lifted at constant velocity
6. If the time required for a student to swim 500 meters is doubled, the power developed by the student will be
1. halved 3. quartered
2. doubled 4. quadrupled
7. A wooden crate is pushed at constant speed across a level wooden floor. Which graph best represents the relationship
between the total mechanical energy of the crate and the duration of time the crate is pushed?
1. 3. 2. 4. 8. A student running up a flight of stairs increases her speed at a constant rate. Which graph best represents the relationship
between work and time for the student's run up the stairs? 1. 3. 2. 4. Figure 1
Base your answer to question on the information and graph.
The graph represents the relationship between the force applied to each of two springs, A and B, and their elongations.
9. [Refer to figure 1]
What physical quantity is represented by the slope of each line?
1. the spring constant
2. the potential energy of the spring
3. the period of the spring
4. the maximum elongation of the spring
10. A student applies a 20.-newton force to move a crate at a constant speed of 4.0 meters per second across a rough floor. How much work is done by the student on the crate in 6.0 seconds?
1. 80. J 3. 240 J
2. 120 J 4. 480 J
11. A student does 300. joules of work pushing a cart 3.0 meters due east and then does 400. joules of work pushing the cart
4.0 meters due north. The total amount of work done by the student is
1. 100. J 3. 700. J
2. 500. J 4. 2500 J
Figure 2
Base your answer to the question on the information and diagram.
A 250.-kilogram car is initially at rest at point A on a roller coaster track. The car carries a 75-kilogram passenger and is 20.
meters above the ground at point A. [Neglect friction.]
12. [Refer to figure 2]
Compare the total mechanical energy of the car and passenger at points A, B, and C.
1. The total mechanical energy is less at point C than it is at points A or B.
2. The total mechanical energy is greatest at point A.
3. The total mechanical energy is the same at all three points.
4. The total mechanical energy is greatest at point B.
13. The graph below shows the relationship between the work done by a student and the time of ascent as the student runs up
a flight of stairs.
The slope of the graph would have units of
1. joules 3. watts
2. seconds 4. newtons
14. The diagram shows points A, B, and C at or near Earth’s surface. As a mass is moved from A to B, 100. joules of work
are done against gravity.
What is the amount of work done against gravity as an identical mass is moved from A to C?
1. 100. J 3. 200. J
2. 173 J 4. 273 J
15. What is the maximum distance that a 60.-watt motor may vertically lift a 90.-newton weight in 7.5 seconds?
1. 2.3 m 3. 140 m
2. 5.0 m 4. 1100 m
16. A block weighing 40. newtons is released from rest on an incline 8.0 meters above the horizontal, as shown in the diagram
below.
If 50. joules of heat is generated as the block slides down the incline, the maximum kinetic energy of the block at the bottom of
the incline is
1. 50. J 3. 320 J
2. 270 J 4. 3100 J
17. As shown in the diagram, a student exerts an average force of 600. newtons on a rope to lift a 50.0-kilogram crate a
vertical distance of 3.00 meters.
Compared to the work done by the student, the gravitational potential energy gained by the crate is
1. exactly the same 3. 330 J more
2. 330 J less
4. 150 J more
18. The graph below represents the relationship between the work done by a student running up a flight of stairs and the time of
ascent.
What does the slope of this graph represent?
1. impulse 3. speed
2. momentum 4. power
19. A 0.10-kilogram ball dropped vertically from a height of 1.0 meter above the floor bounces back to a height of 0.80 meter. The mechanical energy lost by the ball as it bounces is approximately
1. 0.080 J 3. 0.30 J
2. 0.20 J 4. 0.78 J
20. A block weighing 15 newtons is pulled to the top of an incline that is 0.20 meter above the ground, as shown below.
If 4.0 joules of work are needed to pull the block the full length of the incline, how much work is done against friction?
1. 1.0 J 3. 3.0 J
2. 0.0 J 4. 7.0 J
21. As a spring is stretched, its elastic potential energy
1. decreases
2. increases
3. remains the same
22. The diagram below represents a 155-newton box on a ramp. Applied force F causes the box to slide from point A to point
B.
What is the total amount of gravitational potential energy gained by the box?
1. 28.4 J 3. 868 J
2. 279 J 4. 2740 J
23. In the diagram below, 400. joules of work is done raising a 72-newton weight a vertical distance of 5.0 meters.
How much work is done to overcome friction as the weight is raised?
1. 40. J 3. 400. J
2. 360 J 4. 760 J
24. The graph represents the elongation of a spring as a function of the force. What is the value of the spring constant?
1. 0.1 m/N 3. 10 m/N
2. 0.1 N/m 4. 10 N/m
25. If the speed of an object is doubled, its kinetic energy will be
1. halved 3. quartered
2. doubled 4. quadrupled
Answer Key for Energy Exam Review
1. 4 10. 4 19. 2
2. 4 11. 3 20. 1
3. 3 12. 3 21. 2
4. 2 13. 3 22. 2
5. 3 14. 1 23. 1
6. 1 15. 2 24. 4
7. 1 16. 2 25. 4
8. 2 17. 2 9. 1 18. 4