AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A body falls freely on to a hard horizontal surface. If the coefficient of restitution between the surface and the body is 0.8, then the ratio of the maximum height to which the body rises after second impact and the initial height of the body is
- A \(256: 625\)
- B \(64: 125\)
- C \(16: 25\)
- D \(4: 5\)
Answer & Solution
Correct Answer
(A) \(256: 625\)
Step-by-step Solution
Detailed explanation
\(h_n = e^{2n} h_0\) \(\frac{h_2}{h_0} = e^4\) \(\frac{h_2}{h_0} = (0.8)^4\) \(\frac{h_2}{h_0} = \left(\frac{4}{5}\right)^4 = \frac{256}{625}\)
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