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Question

If the momentum of a body is doubled, the kinetic energy :

A
is halved
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B
is unchanged
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C
is doubled
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D
becomes 4 times
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Solution

The correct option is D becomes 4 times
Momentum is directly proportional to velocity. If momentum of an object is doubled , but its mass does not increase (so velocity remains below the speed of light) then its velocity is doubled. If the velocity is doubled, then the kinetic energy increases by four times.

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