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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

A body falls freely from a height of \(100 \mathrm{~m}\) on to the ground and rebounds to a maximum height of \(36 \mathrm{~m}\) after collision. The coefficient of restitution between ground and the body is

  1. A 0.4
  2. B 0.36
  3. C 0.6
  4. D 0.5
Verified Solution

Answer & Solution

Correct Answer

(C) 0.6

Step-by-step Solution

Detailed explanation

First height of rebound, \(h_1=e^2 h_0\) \[ \therefore 36=\mathrm{e}^2(100) \Rightarrow \mathrm{e}^2=\frac{36}{100} \therefore \mathrm{e}=\sqrt{\frac{36}{100}}=\frac{6}{10}=0.6 \]