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Energy Conservation
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Energy Conservation
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25 Questions

1. A spring with a constant of 400 N/m is stretched by 0.5 m. What is the potential energy on the spring?
2. [For Physics C Students Only] This graph depicts the potential energy of an object that varies with the distance, x. Which of the following statements describes the force on the object?
3. A mover uses a pulley system to lift a grand piano with a mass of 500 kg from the ground to a height of 10 m. What is the change in the piano’s gravitational potential energy?
4. A boy pulls a 10-kg box across an ice rink across a distance of 50 m. He exerts a constant force of 10 N on a rope attached to the box at an angle of 60°. How much work has he done on the box?
5. A 2,700-kg cannon fires an 11-kg cannon ball. The length of the cannon’s barrel is 244 m. If the powder produces 2.25 × 104 N of force, what is the velocity of the cannonball?
6. An archer pulls a bowstring back a distance of 1.5 m with 450 N of force. The arrow has a mass of 20 g. When he releases the string, what is the velocity of the arrow when it leaves the bow?
7. A car traveling at 30 m/s must stop within 10 m to avoid a crash. What magnitude of force must the brakes exert on the car?
8. A 5-kg ball rolls down a hill from a height of 10 m. The ball starts from rest. What is the ball’s velocity at the bottom of the hill?
9. A 1-kg block is attached to a spring with a constant of 100 N/m. The spring is compressed 0.2 m from equilibrium. When the block is let go, what is its velocity as it passes the equilibrium point?
10. [For Physics C Students Only] This graph depicts the potential energy of an object that varies with the distance, x. Which of the following statements describes the force on the object?
11. A boy pulls a 10-kg box across an ice rink across a distance of 50 m. He exerts a constant force of 10 N on a rope attached to the box at an angle of 60°. How much work has he done on the box?
12. A man pushes a 100-kg box with a horizontal force of 100 N across a floor for a distance of 60 m in 2 min. What is his power?
13. Two air cars weighing 500 g each are on a frictionless track. Car A is moving at 0.2 m/s when it collides into Car B, which is at rest. Both cars move away at 0.1 m/s. How much energy is lost as heat during the collision?
14. A force of 2.0 N exerted on an object for 5.0 m increased the object’s velocity by 1.0 m/s. What was the mass of the object?
15. [For Physics C Students Only] An object is placed in an elastic device and displaced from the equilibrium point. The force as a function of displacement is shown in this graph. When the object is displaced by 2 m, what is the total potential energy that it has?
16. A rifle fires a 4.0-g bullet at a velocity of 950 m/s. If the length of the rifle barrel is 1.01 m, then what force does the rifle exert on the bullet?
17. A rifle fires a 4.0-g bullet at a velocity of 950 m/s. If the length of the rifle barrel is 1.01 m, then what force does the rifle exert on the bullet?
18. A spring with a constant of 400 N/m is stretched by 0.5 m. What is the potential energy on the spring?
19. A 2,700-kg cannon fires an 11-kg cannon ball. The length of the cannon’s barrel is 244 m. If the powder produces 2.25 × 104 N of force, what is the velocity of the cannonball?
20. [For Physics C Students Only] An object is placed in an elastic device and displaced from the equilibrium point. The force as a function of displacement is shown in this graph. When the object is displaced by 2 m, what is the total potential energy that it has?
21. A bullet has a mass of 7.5 g. It is fired into a ballistic pendulum. The pendulum’s receiving block of wood is 2.5 kg. After the collision, the pendulum swings to a height of 0.1 m. What is the approximate velocity of the bullet?
22. A force of 2.0 N exerted on an object for 5.0 m increased the object’s velocity by 1.0 m/s. What was the mass of the object?
23. A constant net force of 500 N moves a 1,000-kg car 100 m. If the car was initially at rest, then what is the car’s final velocity?
24. A constant net force of 500 N moves a 1,000-kg car 100 m. If the car was initially at rest, then what is the car’s final velocity?
25. A 70-kg man runs at a constant velocity of 2 m/s. What is his kinetic energy?

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