A stone dropped from height h hits the ground with momentum P. If the same stone is dropped from height 2h (100% more), the momentum on hitting the ground changes by approximately:

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NEET Physics QUESTION #7319

Question 1

A stone dropped from height $h$ hits the ground with momentum $P$. If the same stone is dropped from height $2h$ (100% more), the momentum on hitting the ground changes by approximately:

200%
100%
68%
41%✔️

Correct Answer Explanation

$v = \sqrt{2gh}$, so $P = mv = m\sqrt{2gh}$

New momentum: $P' = m\sqrt{2g(2h)} = \sqrt{2}\,P$

Percentage change $= (\sqrt{2}-1)\times 100 \approx 0.414 \times 100 = \mathbf{41\%}$

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