A light and heavy object have the same momentum. Find out the ratio of their Kinetic Energies. Which one has a larger Kinetic Energy.
Assume both the particles have mass M and m and having speed v and v' respectively.
According to question both particles have same momenta.
That means p = Mv = mv'
Also corresponding KE = 0.5 M v2 = (Mv)2/2M = p2/2M
and KE' = 0.5 mv'2 = (mv')2/2m = p2/2m
Light particle (m) has more kinetic energy than that of heavier particle(M).