A ring is attached at the center of the underside of a trampoline. A sneaky teen

Question

A ring is attached at the center of the underside of a trampoline. A sneaky teenager crawls under the trampoline and uses the ring to pull the trampoline slowly down while his 65-kg mother is sleeping on it. When he releases the trampoline, she is launched upward. As she passes through the position at which she was before her son stretched the trampoline, her speed is 2.0 m/s .

How much elastic potential energy did the son add to the trampoline by pulling it down? Assume the interaction is nondissipative.

Explanation / Answer

Here ,

m = 65 Kg

v = 2 m/s

as the mechcanical energy is conserved

elastic potential energy added = maximum kinetic energy

elastic potential energy added = 0.50 * 65 * 2^2

elastic potential energy added = 130 J

the elastic potential energy added is 130 J

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