A light body and a heavy body have the same momentum which of the two bodies will have greater kinetic energy ?
Sumanta Das requested to explain the answer to this question.
As we know,
The momentum of a body, P = mv whee m is the mass and v is the velocity
and Kinetic Energy of a body, E = (1/2) mv2
Since the velocity term comes twice in E, the lighter body will have greater KE
P = mv
P2 = m2v2
p2/2m = (1/2) mv2 = E
which shows that E is inversely proportion to mass for bodies with same momentum.