A light body and heavy body have equal momentum, which one have greater kinetic energy?

The kinetic energy of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity.

Momentum, on the other hand, is given by the formula p = mv.

If a light body and a heavy body have equal momentum, this means that the light body must be moving at a higher velocity than the heavy body (since for the same momentum, a lower mass requires a higher velocity).

Substituting the momentum equation into the kinetic energy equation gives KE = p^2/2m.

From this equation, we can see that for a given momentum, the kinetic energy is inversely proportional to the mass.

Therefore, the light body, with its lower mass, will have a greater kinetic energy than the heavy body.