# Would You Ever Try This Out?

**Classical Mechanics**Level 3

A \(\text{40 kg}\) boy whose legs are \(4 cm^2\) in area & \(50 cm\) long, falls through a height of \(2m\) **without breaking his leg bones.**If the bones of the legs can stand a stress of \(9 \times 10^7 Nm^{-2}\), calculate the magnitude of Young's modulus of the leg bone of the boy.

#### Details and Assumptions:

Give your answer in \(Nm^{-2}\).

Suppose your answer is \(1.176 \times 10^{17}\). Then write it as 1.176E+17