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Q.

A ball is dropped from a height of 40 m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball rebounds to a height of ______m.

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answer is 10.

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Detailed Solution

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$\begin{array}{l} e = \sqrt{\frac{h_{2}}{h_{1}}} \Rightarrow h_{2} = e^{2} h_{1} = (0.5)^{2} (40) \\ = \frac{40}{4} = 10 m \end{array}$

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