The maximum energy a bone can absorb without breaking is surprisingly small. For a healthy human of mass 59 kg , experimental data show that the leg bones can absorb about 200 J . Part A From what maximum height could a person jump and land rigidly upright on both feet without breaking his legs

Explanation:

In this problem we want to solve for the height given the potential energy

the potential energy is the energy possessed  by a body by virtual of it position.

given data

mass m=59kg

PE(potential energy)= 200J

Height h=?

assuming g=9.81,/s^2

we know that the expression for potential energy is

PE=mgh

substituting we have

200=59*9.81*h

200=578.79h

divide both sides by 578.79

h=200/578.79

h=0.35m

Therefore the height is 0.35m

b. a lightning bug, plug of grass, and a worm