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NEET 2004 (AIPMT) · Spring & Elastic Energy

Spring & Elastic Energy question from NEET 2004 (AIPMT)

Q30NEET 2004 · AIPMTEasy

Spring & Elastic Energy

A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

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Answer: (a)

All kinetic energy goes into the spring: $\frac{1}{2}mv^2 = \frac{1}{2}kx^2$ .
$x = v\sqrt{\frac{m}{k}} = 1.5\sqrt{\frac{0.5}{50}} = 1.5 \times 0.1$
So the answer is (a) $0.15$ m.

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