A body falls freely from a height of $100 \mathrm{~m}$ on to the ground and rebounds to a maximum height of…
A body falls freely from a height of $100 \mathrm{~m}$ on to the ground and rebounds to a maximum height of $36 \mathrm{~m}$ after collision. The coefficient of restitution between ground and the body is
0.4
0.36
0.6
0.5
Solution
First height of rebound, $h_1=e^2 h_0$
$
\therefore 36=\mathrm{e}^2(100) \Rightarrow \mathrm{e}^2=\frac{36}{100} \therefore \mathrm{e}=\sqrt{\frac{36}{100}}=\frac{6}{10}=0.6
$