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TS EAMCET · Physics · Center of Mass Momentum and Collision

A ball falls from a height \(h\) and rebounds after striking the floor. The coefficient of restitution is \(e\). The maximum distance covered before it comes to rest is

  1. A \(\frac{\left(1-e^2\right) h}{e^2}\)
  2. B \(\frac{\left(1+e^2\right) h}{e^2}\)
  3. C \(\left(\frac{1+e^2}{1-e^2}\right) h\)
  4. D \(\frac{e^2 h}{1-e^2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left(\frac{1+e^2}{1-e^2}\right) h\)

Step-by-step Solution

Detailed explanation

Ball falls from height \(h\) then formula for height covered by it in \(n\)th rebound is given by \(h_n=h e^{2 n}\) where \(e=\) coefficient of restitution \(n=\) number of rebound Total distance travelled by particle before rebounding has stopped.…
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