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Physics XI Notes for Physics Notes

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How does K.E. of an object change if its momentum is doubled?

We have,

(K.E.)1= P2/2m

Where ‘P’ is momentum and ‘m’ is the mass of the object.
If the momentum is doubled then,

(K.E.)2 = (2P)2/2m

Or, (K.E.)2 = 4(K.E.)1

Therefore, on doubling the momentum, the K.E. of the body increases by four times its initial K.E.

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