**HOW DOES THE KINETIC ENERGY OF A BODY CHANGE IF ITS MOMENTUM IS DOUBLED ?**

Nitish Kumar Gupta , Meritnation Expert added an answer, on 26/10/12

As

The energy possessed by a body when it is in the state of motion is its kinetic energy.

kinetic energy of a body depends on its mass and its speed.

KE =

where m = mass of the body

v = speed/velocity of the body

If the momentum of the body is doubled which clearly signifies velocity has become twice of the previous value since P = MV and mass doesn't vary and we can't change the mass of a body its an inherited property of a body. Therefore

Since Kinetic energy = (1/2)mv^{2} so incase we see the result in respect of the Kinetic energy of the body which, for twice velocity we can easily conclude its KE must have increased by 300% and becomes four times the previous value.

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