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 particle moves under the effect of a force $F = Cx$ from $x = 0$ to $x = {x_1}$. The work done in the process is
$Cx_1^2$
$\frac{1}{2}Cx_1^2$
$C{x_1}$
Zero
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
$W\int\limits_0^{{x_1}} {F.dx} = \int\limits_0^{{x_1}} {Cx\;dx} = C\left[ {\frac{{{x^2}}}{2}} \right]_0^{{x_1}} = \frac{1}{2}Cx_1^2$
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