Q. 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
Explanation
(b) $W\int_{0}^{x_{1}}{F.dx} = \int_{0}^{x_{1}}{Cx\ dx} = C\left\lbrack \frac{x^{2}}{2} \right\rbrack_{0}^{x_{1}} = \frac{1}{2}Cx_{1}^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.