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

Answer:

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, $k=2\times 10^4\ N/m$

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 :

$mg=kx$

$x=\dfrac{mg}{k}$

$x=\dfrac{25\ kg\times 9.8\ m/s^2}{2\times 10^4\ N/m}$

x = 0.012 meters

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