TS EAMCET · Physics · Center of Mass Momentum and Collision
A ball falls freely from a height \(\mathrm{h}\) on a rigid horizontal plane. If the coefficient of restitution is e, then the total distance travelled by the ball before hitting the plane second time is
- A \(h^2\)
- B \(h\left(1+2 e^2\right)\)
- C \(h\left(1-2 e^2\right)\)
- D \(h\left(1+e^2\right)\)
Answer & Solution
Correct Answer
(B) \(h\left(1+2 e^2\right)\)
Step-by-step Solution
Detailed explanation
As ball dropped from height \(h\), then it will strike the plane with velocity, \(v=\sqrt{2 g h}\). Now after striking the plane, it will bounce back with velocity, \(u=e v\) Now it will travel total \(2 \mathrm{~h}_1\) distance before Here \(h_1=\frac{e^2 v^2}{2 g}\) So, total…
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