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Work Energy and Power question

2007 · Q135
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Work Energy and Power question

2007 · Q135

NEETPhysicsWork Energy and PowerMCQ+4 / −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. A
    mg(h + d) −-− 12{1 \over 2}21​kd2
  2. B
    mg(h −-− d) −-− 12{1 \over 2}21​kd2
  3. C
    mg(h −-− d) + 12{1 \over 2}21​kd2
  4. D
    mg(h + d) + 12{1 \over 2}21​kd2
View written solutionFree

Correct answer: A

As seen, gravitational potential energy of the ball gets converted into elastic potential energy of the spring.

mg(h+d)=12kd2mg\left( {h + d} \right) = {1 \over 2}k{d^2}mg(h+d)=21​kd2

Wnet = work done by gravity + work done by spring

⇒\Rightarrow⇒ Wnet = mg(h + d) - 12kd2{1 \over 2}k{d^2}21​kd2

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