Question:

A body falls freely from a height of 100 m on to the ground and rebounds to a maximum height of 36 m after collision. The coefficient of restitution between the ground and the body is:

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The coefficient of restitution is the square root of the ratio of rebound height to drop height when a body is dropped and rebounds.
Updated On: May 15, 2025
  • 0.4
  • 0.36
  • 0.6
  • 0.5
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The Correct Option is C

Solution and Explanation

The body falls from a height of 100 m and rebounds to a height of 36 m after collision. The coefficient of restitution \( e \) is given by the ratio of the square root of the rebound height to the drop height: \[ e = \sqrt{\frac{h_{\text{rebound}}}{h_{\text{drop}}}} \] Substituting the values: \[ e = \sqrt{\frac{36}{100}} = \sqrt{0.36} = 0.6 \] Thus, the coefficient of restitution between the ground and the body is \( 0.6 \).
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