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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

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ANSWER:

0.34 meters

STEP-BY-STEP EXPLANATION:

Given:

m = 60 kg

E =200 J

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

[tex]E=m\cdot g\cdot h[/tex]

We replace and solve for h, just like this:

[tex]\begin{gathered} 200=60\cdot9.8\cdot h \\ \\ h=\frac{200}{60\cdot9.8} \\ \\ h=0.34\text{ m} \\ \end{gathered}[/tex]

The maximum height is 0.34 meters