Question

A 25 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?

Answer 1

The compression in the spring is 0.012 meters.

Step-by-step explanation:

It is given that,

Mass of the child, m = 25 kg

Spring constant of the spring,
`k=2* 10^4\ 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/s^2`. Let x is the compression in the spring. The force of gravity is balanced by the force of the spring as :

`mg=kx`

`x=(mg)/(k)`

`x=(25\ kg* 9.8\ m/s^2)/(2* 10^4\ N/m)`

x = 0.012 meters

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