Amass m moves horizontally along a smooth rail. a pendulum
ishung from m with a wweightless rod and mass m at its
end. find the eigenfrequencies and describe the normal modes.

How much work would be needed to raise the payload from the surface of the moon (i. e., x = r) to an altitude of 5r miles above the surface of the moon (i. e., x = 6r)?

In the sport of parasailing, a person is attached to a rope being pulled by a boat while hanging from a parachute-like sail. a rider is towed at a constant speed by a rope that is at an angle of 15 ∘ from horizontal. the tension in the rope is 1900 n. the force of the sail on the rider is 30∘ from horizontal. what is the weight of the rider? express your answer with the appropriate units.

The velocity of a car traveling in a straight line increases from 0 meters/second to 30meters/second in 8 seconds. what is the average acceleration of the car?