Question

A body from height h is dropped, if the coefficient of restitution is e, then calculate the height achieved after one bounce :

• A. $h_1=e^{4}h$
• B. $h=e{h}_1$
• C. $h_1=e^{2}h$
• D. $h=h_1/e$

Answer 1

The correct option is C $h_1=e^{2}h$

When a body falls from height h, it strikes the ground with a velocity $v=\sqrt{2gh}.$ Let it rebounce with a velocity $v$ and rise to a weight $h_1.$

$v=\sqrt{2g{h}_1}$

$e=\frac{u}{v}\sqrt{\frac{h_1}{h}}$

Clearly, $h_1=e^{2}h$