Question

When the momentum of body is increased by 3 times its, kinetic energy becomes:

Answer 1

As momentum is equal to underroot mass multipled with kinetic energy
If momentum is three times then the kinetic energy will increase by 3 times

Answer 2

Given that,

The momentum of a body is increased by 3 times.

To find,

Kinetic energy of the body.

Solution,

The kinetic energy of the body in terms of momentum is given by :

$E=\dfrac{p^2}{2m}$

If the momentum of body is increased by three times, p' = 3p, then the new kinetic energy becomes,

$K'=\dfrac{p'^2}{2m}\\\\K'=\dfrac{(3p)^2}{2m}\\\\K'=9\times \dfrac{p^2}{2m}\\\\K'=9\times K$

It is clear that the new kinetic energy of the body becomes 9 times of the initial kinetic energy.

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When the momentum of body is increased by 3 times its, kinetic energy becomes ?

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