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Jphil

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A wrecking ball is a heavy steel ball, usually hung from a crane that is used for demolishing large buildings. Suppose we had a crane with a wrecking ball with a mass of m1 = 12,000 lbs. The crane produces a displacement on the ball of a height of Δy = 8.25 meters. As the crane stops turning, the wrecking ball swings downward in a circular motion. The operator of the crane was not paying any attention as he produced a displacement on the ball and at the bottom of the swing the ball collides with a parked vehicle that has a mass of m2.

a. At the bottom of the swing, what is the wrecking balls velocity?

b. Suppose when the wrecking ball swings down, its collision with the parked vehicle is perfectly elastic and the wrecking ball and the parked vehicle both experience the same velocity but in different directions. What is the mass m2 of the parked vehicle?

c. Assume the collision is perfectly inelastic and the wrecking ball and parked vehicle stay stuck together. What is the velocity of the two objects immediately after they collide?

d. Assuming with the same condition as in part (c.), what is the wrecking ball and parked vehicles new displacement Δy? (what is its maximum height hf of the two objects)

A wrecking ball is a heavy steel ball, usually hung from a crane that is used for demolishing large buildings. Suppose we had a crane with a wrecking ball with a mass of m1 = 12,000 lbs. The crane produces a displacement on the ball of a height of Δy = 8.25 meters. As the crane stops turning, the wrecking ball swings downward in a circular motion. The operator of the crane was not paying any attention as he produced a displacement on the ball and at the bottom of the swing the ball collides with a parked vehicle that has a mass of m2.

a. At the bottom of the swing, what is the wrecking balls velocity?

b. Suppose when the wrecking ball swings down, its collision with the parked vehicle is perfectly elastic and the wrecking ball and the parked vehicle both experience the same velocity but in different directions. What is the mass m2 of the parked vehicle?

c. Assume the collision is perfectly inelastic and the wrecking ball and parked vehicle stay stuck together. What is the velocity of the two objects immediately after they collide?

d. Assuming with the same condition as in part (c.), what is the wrecking ball and parked vehicles new displacement Δy? (what is its maximum height hf of the two objects)

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