# Bouncy, bouncy, bouncy

Trampolining is an Olympic sport that involves gymnastics tricks performed sometimes 4-5 meters above the ground using a trampoline. You can see a video of this here. A female gymnast of mass $$50~\mbox{kg}$$ lands on a trampoline, stretching it downward. If after she bounces she reaches a height of $$5~\mbox{m}$$ above the surface of the trampoline when it was fully stretched then how much energy in joules did the trampoline store?

Details and assumptions

• You may assume the gymnast goes straight up and down, is a point mass, and adds no extra energy this bounce by jumping.
• Take $$g$$ to be $$9.8~\mbox{m/s}^2$$.
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