A vertical spring with force constant 'k' is fixed on a table. A ball of mass 'm' at 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.
mg(h + d) - (1/2)kd2
mg(h - d) - (1/2)kd2
mg(h - d) + (1/2)kd2
mg(h + d) (1/2)kd2
As we discussed in concept
If only conservative forces act on a system, total mechnical energy remains constant -
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Option 1)
mg(h + d) - (1/2)kd2
Option is correct
Option 2)
mg(h - d) - (1/2)kd2
Option is incorrect
Option 3)
mg(h - d) + (1/2)kd2
Option is incorrect
Option 4)
mg(h + d) (1/2)kd2
Option is incorrect