JEE Main 202331 JanuaryEvening Shift

Exam: JEE Main
Year: 2023
Date: 31 January
Shift: Evening Shift
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

JEE Main 2023 · 31 January · Evening Shift · Physics · Center of Mass, Momentum and Collision

A ball is dropped from a height of 20m . If the coefficient of...

A ball is dropped from a height of

20m

. 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

Correct answer

Step-by-step solution

As we know ${h}^{'} = {e}^{2}h$ , where ${h}^{'} =$ height after the collision, $h =$ height before the collision and $e =$ coefficient of restitution.

Therefore,

${h}^{'} = {\left(0 . 5\right)}^{2} \times 20m = 5m$

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