Question:

$A$ 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

Updated On: May 3, 2024
  • $mg(h+d)-\frac{1}{2}kd^2$
  • $mg(h-d)-\frac{1}{2}kd^2$
  • $mg(h-d)+\frac{1}{2}kd^2$
  • $mg(h+d)+\frac{1}{2}kd^2$
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The Correct Option is A

Solution and Explanation

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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