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


#1

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


#2

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.