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Manipal MET2020PhysicsLaws of Motion

A spring of force constant k is cut into two pieces such that one piece is double the length of other. Then, the long piece will have a force constant of

Options

  1. A2 3 k
  2. B3 2 k
  3. C3 k
  4. D6 k

Correct answer

B. 3 2 k

Step-by-step solution

Let length of the original spring is L . L L 3 2 L 3 As we know that, Spring constant, k 1 length k 1 L k₁ 3 L k₂ 3 21 k₂ k = 3 / 2 L 1 / L = 3 2 k₂= 3 2 k

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