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

  • A

    $mg\,\left( {h - d} \right) + \frac{1}{2}\,K{d^2}$

  • B

    $mg\,\left( {h + d} \right) + \frac{1}{2}\,K{d^2}$

  • C

    $mg\,\left( {h + d} \right) - \frac{1}{2}\,K{d^2}$

  • D

    $mg\,\left( {h - d} \right) - \frac{1}{2}\,K{d^2}$

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