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A ball is dropped from a height of 10 m....

A ball is dropped from a height of 10 m. If the energy of the ball reduces by 40% after striking the ground, how much high can the ball bounce back ? `(g = 10m//s^2)`

A

4 m

B

8 m

C

6 m

D

5 m

Text Solution

Verified by Experts

The correct Answer is:
C
Initial `"(potential energy of the ball" = mgh = m xx 10xx10 = 100m`
Since the energy of the ball reduces by 40% on striking the ground, energy left with the ball
` = ((60)/(100)) (100m) = 60m`
it is this energy `(60 m)` which enables the ball to bounce back to a height h'. clearly,
`mgh' = (60m) or h' = (60m)/(mg) = (60m)/(mxx10) = 6m`
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