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.

Answer:

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) mv**^{2}

Since the velocity term comes twice in E, the lighter body will have greater KE

Alternately,

P = mv

P^{2} = m^{2}v^{2}

p^{2}/2m = (1/2) mv^{2} = E

*which shows that E is inversely proportion to mass for bodies with same momentum.*

### Like this:

Like Loading...

*Related*