Example 2. A ball is thrown down from a height of 10 m with an initial velocity u. The ball after striking the ground rises to same height because 50% of energy of the ball is wasted in striking with the ground. Calculate the value of u. (g = 9.8 ms ?). If the initial velocity of ball u be upwards, to what height would the ball have risen after striking the ground ?
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Answer:
14 ms
Explanation:
Correct option is
14ms
Initial total energy at height h is, =21mu2+mgh
Energy of ball after collision,
=50% of total energy.
As ball rebounds to same height h, then
mgh= 50% 0f total energy.
=41mu2+21mgh
therefore, u=sqrt(2gh)=14m/s
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