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NEET2007PhysicsWork, Power and EnergyActual

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

Options

  1. Am g(h+d)- 1 2 k d^2
  2. Bm g(h-d)- 1 2 k d^2
  3. Cm g(h-d)+ 1 2 k d^2
  4. Dm g(h+d)+ 1 2 k d^2

Correct answer

A. m g(h+d)- 1 2 k d^2

Step-by-step solution

Net work done = work done by gravitational force + work done by spring force =m g(h+d)- 1 2 k d^2

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