First slide

Coefficient of restitution

Question

A body falls from a height of 16 m and rebounds to a height of 4m. The coefficient of restitution is :

Easy

A

$\frac{1}{2}$
B

$\frac{1}{4}$
C

$\frac{3}{4}$
D

$\frac{1}{8}$

Solution

The maximum rebounding height is
$\begin{array}{l} h_{\max} = e^{2} h \\ \Rightarrow 4 = 16 \times e^{2} \\ \Rightarrow e = \frac{1}{2} \end{array}$

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