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  1. 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
    1. mg(h + d) -
      1
      kd2
      2
    2. mg(h - d) -
      1
      kd2
      2
    3. mg(h - d) +
      1
      kd2
      2
    4. mg(h + d) +
      1
      kd2
      2
Correct Option: A

Gravitational potential energy of ball gets converted into elastic potential energy of the spring. ​

mg(h + d) =
1
kd2
2

Net work done = mg(h + d) -
1
kd2 = 0
2



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