A25 kg child bounces on a pogo stick. the pogo stick has int a spring with spring constant 2.0 x ! 04 n/m. when the child makes a nice big bounce, she finds that at the bottom of the bounce she is accelerating upward at 9.8 m/s2. how much is the spring compressed?

The compression in the spring is 0.012 meters.

Explanation:

It is given that,

Mass of the child, m = 25 kg

Spring constant of the spring,

When the child makes a nice big bounce, she finds that at the bottom of the bounce she is accelerating upward at . Let x is the compression in the spring. The force of gravity is balanced by the force of the spring as :

x = 0.012 meters

So, the compression in the spring is 0.012 meters. Hence, this is the required solution.

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