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Question

A 500 g ball is thrown vertically upwards with a kinetic energy 58.8 J. At what height KE is reduced to half the KE at the point of projection?

A
2 m
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B
3 m
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C
5 m
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D
6 m
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Solution

The correct option is B 6 m
Given:
The ball is thrown upwards with K.E=58.82 J and hence at this height
change in kinetic energy = change in potential energy
or 58.8=mgh
But after a particular height the K.E becomes half of its original value and thus:
58.82/2=mgh
or in other words at h=6 m the K.E becomes half of the original value.

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