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# Change in Momentum and Kinetic Energy

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If momentum of an object is inceased by 10% then its kinetic energy will incresed by ………………………… ??.

Using the relation

$E&space;=&space;\frac{P^{2}}{2m}$

If P is increased by 10 %, then P’ = 1.1 P

and therefore, E’ = 1.21 E

{since 1.1 ^2 = 1.21)

and therefore the kinetic energy increases by 21%

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