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Classical Mechanics and Kinematics

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I need some help with these questions with step-by-step explanations, look at attachment for full problem description:
63. A giant wheel, 40m in diameter, is fitted with a cage and platform on which a man can stand. The wheel rotates at such a speed that when the cage is at X (as shown) the force exerted by the man on the platform is equal to his weight. The speed of the man is...

64. A person riding a Ferris wheel is strapped into her seat by a seat belt. The wheel is spun so that the centripetal acceleration is g. Select the correct combination of forces that act on her when she is at the top. In the table, Fg = force of gravity (down), Fb = seat belt force (down), and Fs= seat force (up)...

65. One end of a 1.0 m long string is fixed, the other end is attached to a 2.0 kg stone. The stone swings in a vertical circle, passing the bottom point at 4.0 m/s. The tension force of the string at this point is about...

66. One end of a 1.0 m long string is fixed, the other end is attached to a 2.0 kg stone. The stone swings in a vertical circle, passing the top point at 4.0 m/s. The tension force of the string at this point is about...

67. A coin is placed on a horizontal phonograph turntable. Let N be the magnitude of the normal force exerted by the turntable on the coin, f be the magnitude of the frictional force exerted by the turntable on the coin, and fs(max) be the maximum possible force of static friction. The speed of the turntable is increased in small steps. If the coin does not slide, then...

68. The iron ball shown is being swung in a vertical circle at the end of a 0.7 m long string. How slowly can the ball go through its top position without having the string go slack?

69. A block is suspended by a rope from the ceiling of a car. When the car rounds a 45 m radius horizontal curve at 22 m/2 (about 50 mph), what angle does the rope make with the vertical?

Kinetic Energy and Work
1. Which of the following is NOT a correct unit for work?

2. Which of the following groups does NOT contain a scalar quantity?

3. A boy holds a 40 N weight at arm's length for 10 s. His arm is 1.5 m above the ground. The work done by the force of the boy on the weight while he is holding it is:

4. A crate moves 10 m to the right on a horizontal surface as a woman pulls on it with a 10 N force. Rank the situations shown below according to the work done by her force, least to greatest.

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This handwritten solution contains step-by-step calculations and explanations to answer the kinematic and classical mechanic problems. Annotated diagrams are included for further understanding.

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