Two carts move along the same straight

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Two carts move along the same straight, frictionless track in opposite directions. Cart X of mass 3 kg3\,\text{kg} has speed 4 m s−14\,\text{m s}^{-1} to the right, while cart Y of mass 1 kg1\,\text{kg} has speed 2 m s−12\,\text{m s}^{-1} to the left. They collide head-on and the collision is perfectly elastic. By what percentage does the kinetic energy of cart Y change as a result of the collision? (a) 0%0\% (b) 525% increase525\%\ \text{increase} (c) 1125% increase1125\%\ \text{increase} (d) 1225% increase1225\%\ \text{increase}

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