Question

The maximum energy a bone can absorb without breaking is surprisingly small. Experimental data show that the leg bones of a healthy, 60 kg human can absorb about 200 J. From what maximum height could a 60 kg person jump and land rigidly upright on both feet without breaking his legs? Assume that all energy is absorbed by the leg bones in a rigid landing

Answer 1

0.34 meters

Explanation:

Given:

m = 60 kg

E =200 J

We have that the formula for potential energy is as follows:

`E=m\cdot g\cdot h`

We replace and solve for h, just like this:

`\begin{gathered} 200=60\cdot9.8\cdot h \\ \\ h=(200)/(60\cdot9.8) \\ \\ h=0.34\text{ m} \\ \end{gathered}`

The maximum height is 0.34 meters