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Concepts Of Physics MCQ Edition [Volume 1]PhysicsNewton's Laws of Motion

A 2 kg block is suspended from the ceiling using a massless spring having a spring constant k = 100 N/m . Find the elongation of the spring. If an additional 1 kg is attached to the block, what would be the further elongation?

Options

  1. A0.1 m and 0.2 m
  2. B0.2 m and 0.1 m
  3. C0.2 m and 0.3 m
  4. D0.3 m and 0.1 m

Correct answer

B. 0.2 m and 0.1 m

Step-by-step solution

Given m₁ = 2 kg , k = 100 N/m , and taking g = 10 m/s ^2 . At equilibrium, the restoring force of the spring balances the weight of the block. k x₁ = m₁ g 100 x₁ = 2 10 x₁ = 0.2 m When an additional mass m₂ = 1 kg is attached, the additional restoring force balances the additional weight. k x₂ = m₂ g 100 x₂ = 1 10 x₂ = 0.1 m The initial elongation is 0.2 m and the further elongation is 0.1 m .

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