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Physics · WORK, ENERGY AND POWER

हिन्दी

An ideal massless spring with spring constant \( k \) is compressed by an amount \( x_0 \) from its equilibrium position. The work that must be done by an external agent to further compress it by an additional amount \( 2x_0 \) is:

  1. \( 3 k x_0^2 \)
  2. \( \frac{5}{2} k x_0^2 \)
  3. \( 4 k x_0^2 \)
  4. \( 8 k x_0^2 \)

Correct answer · Option 3

\( 4 k x_0^2 \)

Explanation

Work done by external force is \( W_{\text{ext}} = \frac{1}{2}k(x_f^2 - x_i^2) = \frac{1}{2}k((3x_0)^2 - x_0^2) = \frac{1}{2}k(9x_0^2 - x_0^2) = 4kx_0^2 \).
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