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Question: Answered & Verified by Expert
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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Options:
  • A $m g(h+d)-\frac{1}{2} k d^2$
  • B $m g(h-d)-\frac{1}{2} k d^2$
  • C $m g(h-d)+\frac{1}{2} k d^2$
  • D $m g(h+d)+\frac{1}{2} k d^2$
Solution:
2462 Upvotes Verified Answer
The correct answer is: $m g(h+d)-\frac{1}{2} k d^2$
Net work done = work done by gravitational force + work done by spring force
$=m g(h+d)-\frac{1}{2} k d^2$

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