Question:
A ball is dropped from a height of $20 m$ 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 ___$m$
A ball is dropped from a height of $20 m$ 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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The rebound height after a collision is determined by the square of the coefficient of restitution.
Updated On: Feb 2, 2026
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Correct Answer: 5
Solution and Explanation
The height to which the ball rebounds is given by:
\[
h' = e^2 \times h
\]
where \( e \) is the coefficient of restitution and \( h \) is the initial height.
Substituting the values:
\[
h' = (0.5)^2 \times 20 = 0.25 \times 20 = 5 \, \text{m}
\]
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Energy:
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