Work done by constant and variable forces, kinetic and potential energies - One Line Questions

1. A spring is compressed by 2 cm. If the spring constant is 100 N/m, what is the potential energy stored in the spring? — 0.02 J
2. What is the change in kinetic energy if an object's speed changes from v1 to v2? — 1/2 m(v2^2 - v1^2)
3. What is the formula for gravitational potential energy near the Earth's surface? — mgh
4. Which of the following represents the potential energy of a particle in simple harmonic motion? — 1/2 kx^2
5. A variable force is given by F = (2x + 3) N, where x is in meters. What is the work done by this force when it moves an object from x = 0 m to x = 2 m? — 10 J
6. A force F(x) = 5x^2 N acts on a particle. The work done by this force as the particle moves from x = 1 m to x = 3 m is: — 40 J
7. A force F = 5i N displaces a particle by d = 2j m. The work done is: — 0 J
8. If a force F = 2x^2 + 3x N acts on a particle, what is the work done in moving it from x=1m to x=2m? — 10.5 J
9. The work done by a force F = 3i + 2j N on a particle moving with velocity v = 2i + 3j m/s is: — 12 J
10. A force is given by F = (2t + 5) N. What is the work done by this force from t = 0 s to t = 2 s, assuming the force acts in the direction of motion? — 24 J
11. A force F = 3i + 4j N acts on a particle and displaces it by d = (2i - 3j) m. The work done is: — -6 J
12. The kinetic energy of a body is 100 J. If its velocity is doubled, the new kinetic energy will be: — 400 J
13. If a force of 10 N acts on an object and displaces it by 5 meters in the direction of the force, what is the work done? — 50 J
14. In which of the following cases is the work done zero? — All of the above
15. Potential energy is defined for: — Conservative forces only
16. The work done by a conservative force is: — Path independent
17. If the net force acting on an object is zero, then the work done by the net force is: — Zero
18. If the net work done on an object is positive, its kinetic energy: — Increases
19. If the momentum of a body is doubled, its kinetic energy becomes: — Four times
20. The rate at which work is done is called: — Power
21. Which of the following is a scalar quantity? — Work
22. The unit of potential energy is the same as the unit of: — Work
23. A particle moves from point A to point B under the influence of a force. The work done by this force is independent of the path taken if the force is: — Conservative
24. If the mass of an object is doubled, its kinetic energy becomes: — Double
25. If the velocity of an object is doubled, its kinetic energy becomes: — Four times
26. Work done by a force is zero if the displacement is: — Perpendicular to the direction of the force
27. When a body falls freely under gravity, its total mechanical energy: — Remains constant
28. When a ball is thrown upwards, its potential energy: — Increases
29. If the speed of a particle is constant, its kinetic energy: — Remains constant
30. Which of the following is NOT a unit of energy? — Newton-meter
31. Which type of energy is associated with the configuration of a system? — Potential energy
32. A force F = kx^n acts on a particle, where k is a constant. The work done by this force when it moves from x = 0 to x = L is: — kL^(n+1)/(n+1)
33. For a spring, the potential energy is given by: — 1/2 kx^2
34. If an object is at rest, its kinetic energy is: — Zero
35. What is the potential energy of a system when its constituent particles are infinitely far apart (for attractive forces)? — Zero
36. What is the formula for kinetic energy? — 1/2 mv^2
37. The work done in lifting a body of mass 'm' to a height 'h' is: — mgh
38. What is the change in potential energy when an object of mass m is raised by a height h? — mgh
39. Potential energy is the energy possessed by an object due to its: — Position or configuration
40. What is the SI unit of work done? — Joule
41. The work done by a non-conservative force is: — Path dependent
42. Kinetic energy is the energy possessed by an object due to its: — Motion
43. If the potential energy of a system is decreasing, the work done by the conservative force is: — Positive
44. The work done by friction is always: — Negative
45. If an object is moving with constant velocity, the net work done on it is: — Zero
46. The work done by the centripetal force in circular motion is: — Zero
47. The work done by the gravitational force when a body moves from a higher altitude to a lower altitude is: — Positive
48. The work-energy theorem states that the net work done on an object is equal to the change in its: — Kinetic energy
49. The potential energy of a system is minimum when the system is in a state of: — Stable equilibrium
50. Work done by a force is defined as the product of force and displacement only when the force is: — Constant and in the direction of displacement
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