Avi, a gymnast, weighs 40 kg. she is jumping on a trampoline that has a spring constant value of 176,400 . if she compresses the trampoline 20 cm, how high should she reach?

Answer

9 m

Explanation

The energy stored in a spring is given by:

Energy = 1/2 k²e

Where e is the compression and k is the spring constant.

 Energy = 1/2 × 176,400 × 0.2²

              = 3,528 N

The same energy will then be converted to potential energy given by:

Energy = mgh

Where m is the mass, g is the gravity and h is the height above the ground.

Energy = mgh

3,528 = 40 × 9.8 × h

3,528 = 392h

h = 9 m

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neg x, pos y