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A student is in her dorm room, sitting on her bed doing physics homework. The do

ID: 1694349 • Letter: A

Question

A student is in her dorm room, sitting on her bed doing physics homework. The door to her room is open. All of a sudden, she hears the voice of her ex- boyfriend down the hall, talking to the girl in the room next door. She wants to shut the door quickly, so she throws a superball (which she keeps next to her bed for this purpose) against the door. The ball follows the path shown in the top-view diagram shown. It hits the door squarely and bounces straight back.
a. If the ball has a mass m, hits the door with a speed v, and bounces back with a speed almost equal to v, what is the change in the ball’s momentum?
b. If the ball was in contact with the door for a time ?t, what was the average force exerted on the ball by the door?
c. Would she have been better off with a clay ball of the same mass that stuck to the door? Explain your reasoning.
d. Does the ball’s effectiveness in closing the door depend on where on the door the ball hits? If it does, where should it hit to be the most effective? Explain your reasoning.

Explanation / Answer

1. 2mv 2. 0 3. nothing as by conservation of momentam . 4.yes as the angle depends becouse fcosthita will act and will be max at thita=90 deg.