AIPMT PRELIMS2007Physics-Work, Energy and Power

AIPMT PRELIMS 2007 Physics Conservation of Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 11

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

A

mg(h+d)12kd2mg(h + d) - \frac{1}{2}kd^2

B

mg(hd)12kd2mg(h - d) - \frac{1}{2}kd^2

C

mg(hd)+12kd2mg(h - d) + \frac{1}{2}kd^2

D

mg(h+d)+12kd2mg(h + d) + \frac{1}{2}kd^2

Correct Answer

Option A

Detailed Explanation

The gravitational potential energy (mgh) is converted into elastic potential energy (1/2 kd²) when the ball compresses the spring.

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