A ball is dropped from a height of 20 m. If coefficient of restitution for collision between ball and floor is 0.5, after hitting the floor the ball rebounds to a height of ______ m.
Physics · Circular Motion
JEE Mains 31 January 2023 Shift 2 Evening Shift

Question

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

G1 Physics · Accepted Answer

Rebound speed = e times impact speed. Since height is proportional to speed squared, rebound height h' = e²h = (0.5)²×20 = 5 m.