From approximately what maximum height could a 70.0 kg person jump and land rigidly upright on both feet without breaking his legs?

Question

The maximum energy that a bone can absorb without breaking depends on its characteristics, such as its cross-sectional area and its elasticity. For healthy human leg bones of approximately 6.00 cm2 cross-sectional area, this energy has been experimentally measured to be about 200 J .

Answer 1

g = acceleration of gravity = 9.8 m/s^2

h = jump height in meters = ?

m = 70.0 kg

Assume all the potential energy at the height is converted to kinetic energy at the bottom, and the bones must absorb all of the kinetic energy to bring the person to a full stop. Set

mgh = 200 J

You know m and g. Solve for h and finish from here.