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Chapter 2 Work, Energy and Potentials Previous Year Questions with Solutions

Pravegaa PYQ Series · Volume 2: Classical Mechanics & Special Relativity

CM02: Work, Energy and Potentials

19 previous-year questions with complete solutions, from IIT JAM, GATE, CSIR NET-JRF, JEST and TIFR, arranged from IIT JAM and GATE through to TIFR and from the most recent paper backwards. Click Show solution under any question.

  • IIT JAM: 6
  • GATE: 1
  • CSIR NET: 3
  • JEST: 8
  • TIFR GS: 1
CM02.1IIT JAM 2026, Q30MCQ | 2 marks

The speed of an object of mass \(20\,\text{kg}\) increases from \(2\,\text{m/s}\) to \(6\,\text{m/s}\) in \(10\,\text{s}\). The power required, in Watts, is:

  1. 64

  2. 54

  3. 32

  4. 72

Show solution

By the work–energy theorem, \[ W=\Delta K=\frac12\times20\times(6^2-2^2)=10\times32=320\ \text{J}. \] \[ P=\frac{W}{t}=\frac{320}{10}=32\ \text{W} \] \[ \boxed{P=32\ \text{W}} \]

Answer: (C) \(32\)

CM02.2IIT JAM 2023, Q10MCQ | 1 mark

A projectile of mass \(m\) is moving in the vertical \(x\)-\(y\) plane with the origin on the ground and \(y\)-axis pointing vertically up. Taking the gravitational potential energy to be zero on the ground, the total energy of the particle written in planar polar coordinates \((r,\theta)\) is (here \(g\) is the acceleration due to gravity)

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