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NEET 2012 (AIPMT, Mains) · Inertia, First & Second Laws

Inertia, First & Second Laws question from NEET 2012 (AIPMT, Mains)

Q36NEET 2012 · AIPMT · MAINSEasy

Inertia, First & Second Laws

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

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Answer: (b)

$v = \sqrt{2gh}$ , so $P = m\sqrt{2gh} \propto \sqrt{h}$ .
Height 100% more means $h' = 2h \Rightarrow P' = \sqrt{2}P \approx 1.41P$ .
Change $= 41\%$ . So the answer is (b) 41%.

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