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 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
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Apply the formula \( h_n = e^2 \times h_{n-1} \) for successive rebounds in collision problems.
Updated On: Mar 18, 2026
- 2 m
- 0.25 m
- 1 m
- 0.5 m
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The Correct Option is D
Solution and Explanation
The height after each bounce = \( e^2 \times {previous height} \)
First bounce: \( e^2 \times 8 = 0.25 \times 8 = 2 \,{m} \)
Second bounce: \( 0.25 \times 2 = 0.5 \,{m} \)
First bounce: \( e^2 \times 8 = 0.25 \times 8 = 2 \,{m} \)
Second bounce: \( 0.25 \times 2 = 0.5 \,{m} \)
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