Consider a 10 lb bowling ball being dropped on a trampoline. A trampoline responds to force exerted on it with linear restoring force. The 10 lb bowling ball is dropped from 4 m onto the middle of the trampoline. At an interval, the ball and trampoline are both at rest with the ball depressing the trampoline 20 cm below its resting state (when nothing is on the trampoline). Assume the ball is attached to the trampoline's surface as it oscillates, what is the maximum amplitude and period of the ball's oscillation on the trampoline? Would increasing the height increase the oscillation, why or why not?
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