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Physics · WORK, ENERGY AND POWER

हिन्दी

An ideal massless spring of force constant \( k \) is attached to a rigid wall and rests on a smooth horizontal surface. When the spring is pulled outwards to an extension \( x_m \), the work done by the spring force \( W_s \) is:

  1. A
    \( +\frac{1}{2}kx_m^2 \)
  2. B
    \( -kx_m \)
  3. C
    \( -\frac{1}{2}kx_m^2 \)
  4. D
    \( +kx_m^2 \)
View Answer & Solution

Correct answer · Option C

\( -\frac{1}{2}kx_m^2 \)

Explanation

The work done by the spring force is \( W_s = \int_0^{x_m} (-kx) dx = -\frac{1}{2}kx_m^2 \).
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