1. Give the expression for the velocity of an object rolling down an incline without slipping in terms of h (height), M(mass), g, I (Moment of inertia) and radius of the object

2. Express the range of an object in terms of its velocity, launch angle, and g

3. Determine the vertical displacement as a function of the horizontal displacement.

4. Determine the max height of a projectile as a function of initial speed, launch angle and gravity.

5. Determine a particle’s kinetic energy as a function of time, with a mass of m and its position x is described as a function of time t by x = t 3/2

6. An object is dropped from rest from the top of a 400 m cliff on Earth. If air resistance is negligible, what is the distance the object travels during the first 6 s of its fall?

7. Determine the velocity of an object falling in free fall knowing the change in the vertical displacement.

8. Calculate the moment of inertia of the following situation

9. Determine the period of revolution of a satellite in terms of Me, Re, G and h

10. Determine the force between the two blocks sliding on a frictionless surface in terms of M,m and F Mm F

11. A particle is moving in a circle of radius 2m according to the relation  = 3t 2 + 2t, where  is measured in radians and t in seconds. Express the linear velocity as a function of t.

12. Determine the acceleration of gravity of a Planet one ‑ fourth that of the Earth, and its diameter is one ‑ half that of the Earth?

13. A person pushes a box across a horizontal surface at a constant speed of 0.5 meter per second. The box has a mass of 40 kilograms, and the coefficient of sliding friction is 0.25. The power supplied to the box by the

14. Determine the period of the.1kg weight oscillating on the spring when k = 40N/m?

15. Determine the amplitude of the.1kg weight oscillating on the spring when k = 40N/m?

16. Determine the angular velocity of the.1kg weight oscillating on the spring when k = 40N/m?

17. A particle of mass m moves with a constant speed v along the dashed line y = a. When the x ‑ coordinate of the particle is x o, the magni­tude of the angular momentum of the particle with respect to the origin of the system is

18. Torque as a function of applied force and torque arm

19. Determine the center of mass of the object below

20. Mass M 1 is moving with speed v toward stationary mass M 2. The speed of the center of mass of the system is?

21. If m2 > ma what is the acceleration of m2

22. A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertial about the axis is I and has a angular velocity w at time t. What is the angular momentum at time t.

23. A cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertial about the axis is I and has a angular velocity w at time t. What is the kinetic energy at time t.

24. The position of the spring as a function time

25. The velocity of the spring as a function time

26. The Energy of the spring as a function time

27. Two identical massless springs are hung from a horizontal support. A block of mass 1.2 kilograms is suspended from the pair of springs, as shown above. Determine k when in equilibrium, each spring is stretched an additional 0.15 meter.

28. What is the period of a pendulum

29. Solve for m in terms of m1 and m2

30. Relating momentum and energy

31. Relating torque and work

32. A person pushes a box with mass m across a horizontal surface at a constant speed of v. Determine the power of the box?

33. Determine the power to lift a mass m with constant velocity a vertical distance H in time T.

34. Finding the velocity of a orbiting body

35. Stress

36. Strain

37. Young’s modulus

38. Rotational impulse

39. Work energy theorem

40. Work

41. Rotational work

42. Acceleration of a spring

43. Parallel axis theorem

44. Velocity of a rock with changing mass

45. Hook’s law

46. Force of Drag

47. Final velocity of a system after two objects undergo a inelastic collision

48. Hook’s Law

49. Total energy of a rotating object

50. Conservation of momentum equation