The force constant of a wire is k and that of the another wire is 3k when both the wires are stretched through same distance, if work done are W1 and W2, then

Correct answer: D. W2 = 3W1

  • A. W2 = W1
  • B. W2 = 9W1
  • C. W1 = 3 W2
  • D. W2 = 3W1

Explanation

Elastic work W = ½ k x². With same x, W ∝ k. If k₂ = 3k₁ then W₂ = 3 W₁. Hence option D.

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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.

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