Q 11-05-095JEE MainJEE Main 2023 (31 Jan, Shift 2)Easy
A ball is dropped from a height of $20\ \text{m}$. 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 ______ m.
Numerical value type. Enter your answer.
Answer: 5
Rebound speed $=e\times$ impact speed, and height $\propto v^2$: $h'=e^2h=0.25\times20=5\ \text{m}$.
Solution by Sreeraj P, M.Sc Physics