Momentum (p) is given by p = mv, where m is mass and v is velocity. Kinetic Energy (KE) is given by KE = ½ mv². We can relate KE and momentum: Since v = p/m, substituting into the KE equation gives KE = ½ m (p/m)² = ½ m (p²/m²) = p² / (2m). Given that the momentum (p) is equal for both bodies, KE is inversely proportional to the mass (m). Therefore, the body with smaller mass (the light body) will have greater kinetic energy.
A light and a heavy body have equal momentum. Which one has greater kinetic energy ?
Asked in PPSC CS Prelims 2013 · Topic: Mechanics (Work, Energy, and Power)
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