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) \[mg\left( h-d \right)+\frac{1}{2}k{{d}^{2}}\]
Correct Answer: B
Solution :
Situation is shown in figure. When mass m falls vertically on spring, then spring is compressed by distance d. Hence, net work done in the process is W = Potential energy stored in the spring + Loss of potential energy of mass\[=mg(h+d)-\frac{1}{2}k{{d}^{2}}\]You need to login to perform this action.
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