Question

A body is dropped freely from a height of 8 m from the ground. If the coefficient of restitution between the body and the ground is 0.5, then the maximum height reached by the body after second impact with the ground is

• A. 2 m
• B. 0.25 m
• C. 1 m
• D. 0.5 m

Hint:

Apply the formula \( h_n = e^2 \times h_{n-1} \) for successive rebounds in collision problems.

Answer 1

The Correct Option is D

The height after each bounce = \( e^2 \times {previous height} \)
First bounce: \( e^2 \times 8 = 0.25 \times 8 = 2 \,{m} \)
Second bounce: \( 0.25 \times 2 = 0.5 \,{m} \)