A ball is dropped at a height of h measured from the ground. If the coefficient of restitution between the ball and the ground is e (between

Question

A ball is dropped at a height of h measured from the ground. If the coefficient of restitution between the ball and the ground is e (between zero and one), what is the maximum height to which the ball rises after the first bounce?

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Ximena 3 weeks 2021-09-23T11:30:25+00:00 1 Answer 0

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    2021-09-23T11:31:29+00:00

    Answer:

    The maximum height is he^2.

    Step-by-step explanation:

    The ball has been dropped from the height of h.

    Let, the ball will be able to rise a height of H after first bounce.

    The initial velocity of the ball is \sqrt{2gh} and the velocity after the first bounce is \sqrt{2gH}.

    The coefficient of restitution, e = \frac{\sqrt{2gH} }{\sqrt{2gh} } {as per the definition of coefficient of restitution}.

    Hence, H = he^{2}.

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