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Is it true that if the momentum of a body is doubled then, it's kinetic energy becomes fourfold?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is True.
We know that momentum is directly proportional to the velocity and kinetic energy is directly proportional to the square of the velocity.

K . E = \frac{1}{2} m v^{2}

p = mv

So, when the momentum is doubled, mass remains constant and the velocity is doubled as a result of which the kinetic energy becomes four times the original kinetic energy.

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