A ball is dropped from a height of 20 m . If the coefficient of restitution for the collision betwee

Question

A ball is dropped from a height of 20 m . If the coefficient of restitution for the collision between ball and floor is 0.5 , after hitting the floor, the ball rebounds to a height of $\_\_\_\_$ .

Professor PC Thomas Classes · Answer

(5) : Here, $H=20 \mathrm{~m}, e=0.5$ As, $v=\sqrt{2 g H}$ $$\begin{equation*} H_{	ext {max }}=\frac{e^{2} v^{2}}{2 g} 	ag{i} \end{equation*}$$ \\ $H_{	ext {max }}=\frac{e^{2}(2 g H)}{2 g}=\frac{(0.5)^{2} 	imes 2(10) 20}{2 	imes 10}=5 \mathrm{~m}$.\