WBJEE · Physics · Center of Mass Momentum and Collision
A ball falls from a height \(h\) upon a fixed horizontal floor. The co-efficient of restitution for the collision between the ball and the floor is 'e'. The total distance covered by the ball before coming to rest is [neglect the air resistance]
- A \(\frac{1-\mathrm{e}^2}{1+\mathrm{e}^2} \mathrm{~h}\)
- B \(\frac{1+e^2}{1-e^2} h\)
- C \(\frac{1-2 e^2}{1+e^2} h\)
- D \(\frac{1+2 e^2}{1-e^2} h\)
Answer & Solution
Correct Answer
(B) \(\frac{1+e^2}{1-e^2} h\)
Step-by-step Solution
Detailed explanation
Dist \(=\mathrm{h}+2 \mathrm{e}^2 \mathrm{~h}+2 \mathrm{e}^4 \mathrm{~h}+-----\) \(d=\left[\frac{1+\mathrm{e}^2}{1-\mathrm{e}^2}\right] \mathrm{h}\)
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