A light and a heavy body have the same kinetic energy. Which one of the two will have greater momentum ?

Explanation

Kinetic energy, `E_k = (1)/(2)m upsilon^2 = ((m upsilon)^2)/(2m) = (P^2)/(2m) (momentum, P = m upsilon)`
Thus, `P^2 = 2 m E_k or p = sqrt(2m E_k)`
Since `E_k` is the same for both the bodies, `p prop sqrtm.` Thus, the heavier body (with more m) will have more momentum then the ligheter body (with less m), though both have the same kinetic energy.