If a light body and a heavy body have equal momentum, then

The relationship between kinetic energy (K) and momentum (p) is defined by the formula K = p²/2m, where 'm' represents the mass of the body [t2][t10]. In this scenario, both the light body and the heavy body possess equal momentum (p). Since 'p' is constant, the kinetic energy becomes inversely proportional to the mass (K ∝ 1/m) [t10]. Consequently, a body with a smaller mass (the lighter body) will result in a larger value for kinetic energy compared to a body with a larger mass (the heavier body) [t4][t7]. Physically, for a lighter body to achieve the same momentum (p = mv) as a heavier one, it must travel at a significantly higher velocity [t6][t7]. Because kinetic energy depends on the square of the velocity (K = 1/2mv²), this higher velocity leads to the lighter body having greater kinetic energy [t7].