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NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Work, Power and Energy

NEET 2007 · Physics · Work, Power and Energy

A vertical spring with force constant k is fixed on a table. A ball...

A vertical spring with force constant kk is fixed on a table. A ball of mass mm at a height hh above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance dd. The net work done in the process is

Options

  1. Amg(h+d)−12kd2m g(h+d)-\frac{1}{2} k d^2
  2. Bmg(h−d)−12kd2m g(h-d)-\frac{1}{2} k d^2
  3. Cmg(h−d)+12kd2m g(h-d)+\frac{1}{2} k d^2
  4. Dmg(h+d)+12kd2m g(h+d)+\frac{1}{2} k d^2

Correct answer

A. mg(h+d)−12kd2m g(h+d)-\frac{1}{2} k d^2

Step-by-step solution

Net work done = work done by gravitational force + work done by spring force =mg(h+d)−12kd2=m g(h+d)-\frac{1}{2} k d^2
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