Kinetic energy of a lighter body is equal to that of a heavier body. Which one of them has a greater momentum ?

Explanation

Let mass and velocity of the lighter body be m and v, and those of the heavier body be M and V , respectively.
Given `1/2 MV^2 =1/2 mv^2 or, (M^2V^2)/(M) =(m^2v^2)/(m)`
`or, (m^2v^2)/(M^2V^2) =m/M or, (mv)/(MV) = sqrt(m/M)`
or, `("momentum of the lighter body")/("momentum of the heavier body ") = sqrt(m/M) lt 1`
Hence, momentum of the heavier body is greater.