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  4. A particle moves under the effect of a force F=cx from x=0 to x=x1 . The work done in the process is

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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

NTA AbhyasNTA Abhyas 2020Work, Energy and Power

Solution:

$F=cx$
$W=\displaystyle \int F . d x$
$W=\displaystyle \int _{0}^{x_{1}} c x . d x$
$F=\left[c \frac{x^{2}}{2}\right]_{0}^{x_{1}}$
$F=c\frac{x_{1}^{2}}{2}$