TS EAMCET · Physics · Center of Mass Momentum and Collision
A body falls freely from a height ' \(\mathrm{h}\) ' on a fixed horizontal plane and rebounds. If ' \(\mathrm{e}\) ' is the coefficient of restitution, the total distance travelled before it comes to rest is
- A \(\mathrm{h}\left[\frac{1+\mathrm{e}^2}{1-\mathrm{e}^2}\right]\)
- B \(\mathrm{h}\left[\frac{1-\mathrm{e}^2}{1+\mathrm{e}^2}\right]\)
- C \(\frac{\mathrm{h}}{2}\left[\frac{1-\mathrm{e}^2}{1+\mathrm{e}^2}\right]\)
- D \(\frac{\mathrm{h}}{2}\left[\frac{1+\mathrm{e}^2}{1-\mathrm{e}^2}\right]\)
Answer & Solution
Correct Answer
(A) \(\mathrm{h}\left[\frac{1+\mathrm{e}^2}{1-\mathrm{e}^2}\right]\)
Step-by-step Solution
Detailed explanation
When a ball dropped from a height \(h\), then it will strick the floor with velocity \(v=\sqrt{2 g h}\) Now, after strick the floor it will bounce back with velocity, \(\mathrm{u}=\mathrm{ev}\) Now it will travel \(2 \mathrm{~h}_1\) distance before again striking the ground.…
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