Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A particle moves under the effect of a force F = Cx from $x=0$ to $x = x_1$ . The work done in the process is
$(a) Cx_{1}^{2} (b) \frac{1}{2} Cx_{1}^{2} (c) Cx_{1} (d) Zero$
Text Solution
Verified by ExpertsThe correct answer is:
B
$W \int_0^{x_1} F \cdot dx = \int_0^{x_1} Cx dx = C \left[ \frac{x^2}{2} \right]_0^{x_1} = \frac{1}{2} C x_1^2$
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