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NEET 2007 (AIPMT) · Spring & Elastic Energy

Spring & Elastic Energy question from NEET 2007 (AIPMT)

Q28NEET 2007 · AIPMTMedium

Spring & Elastic Energy

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the process is

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Answer: (a)

Gravity acts over the full fall $h + d$ : $W_g = mg(h+d)$ .
Spring force does $W_s = -\frac{1}{2}kd^2$ .
So the answer is (a) $mg(h+d) - \frac{1}{2}kd^2$ .

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