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If the momentum of a body is increased by 50%, then the percentage increase in its kinetic energy is

1. 50%
2. 100%
3. 125%
4. 200%

Correct answer: 125%

Solution

Kinetic energy (K) is proportional to the square of momentum (p), i.e., K ∝ p². If momentum increases by 50%, the new momentum becomes 1.5p. The new kinetic energy becomes (1.5p)² = 2.25p², which is a 125% increase from the original kinetic energy.

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