Question

A particle moves under the influence of a force F = CX from X = 0 to $X=X_1$. The work done in this process will be

• A. $\frac{C{X}_1^2}{2}$
• B. $C{X}_1^2$
• C. $C{X}_1^3$
• D. $0$

Answer 1

The correct option is A $\frac{C{X}_1^2}{2}$

$W={\int }_{x_1}^{x_2}Fdx={\int }_0^{x_2}cxdx=\frac{1}{2}C{x}^2$