A ball is dropped from a height of 10 m on a smooth floor and after the impact, the ball bounces to a height of 2.5 m. The coefficient of restitution between the ball and the floor is

Question

Question

This question was previously asked in

ISRO VSSC Technical Assistant Mechanical 25 Feb 2018 Official Paper

Answer 1

Concept:

After the impact the height attained by the ball (h₂) can be calculated by:

h₂ = e² × h₁

where e is coefficient of restitution and h₁ is the initial height from which the ball is dropped

Calculation:

Given:

h₁ = 10 m, h₂ = 2.5 m

We know that

h2 = e2 × h1

2.5 m = e² × 10

e² = 0.25

e = 0.5

Download Solution PDF