Physics XI Content

5. 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.