A ball is dropped on the ground from a height of 1m. the coefficient of restitution is 0.6. The height to which the ball will rebound is :- 0.6 m 0.4 m 0.36 m 0.16 m
Question
A ball is dropped on the ground from a height of 1m. the coefficient of restitution is 0.6. The height to which the ball will rebound is :- 0.6 m 0.4 m 0.36 m 0.16 m
Solution
The height to which the ball will rebound can be calculated using the formula for the coefficient of restitution, which is the square root of the ratio of the final height (h) to the initial height (H). The formula is:
e = sqrt(h/H)
Where: e = coefficient of restitution h = final height H = initial height
Given that the coefficient of restitution (e) is 0.6 and the initial height (H) is 1m, we can rearrange the formula to solve for the final height (h):
h = e^2 * H
Substituting the given values:
h = 0.6^2 * 1 h = 0.36 m
So, the ball will rebound to a height of 0.36 m.
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