Problem 23PE

A pogo stick has a spring with a force constant of 2.50×104 N/m, which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.

Solution

Step 1

When the boy Jumps on the spring it compresses from its equilibrium position, and it will try to gain its original position which is compressed. The speed of the boy at the spring's natural length and mass of the spring and the boy is given.

Given pop stick spring 2.5

Mass of the spring and the boy is 40 kg

And the compressed spring is 12 cm