Question

If under the action of fore $F=-(y\hat{i}+x\hat{i})$ a particle moves form (0, 0) to (a, 0) then to (a, a) then find work done by force.

Answer 1

$\begin{array}{c}F=-\left(y\hat{i}+x\hat{j}\right)\\ w={\int }^{}F.dx\\ =-{\int }_0^{a}yx\hat{i}+{\int }_0^{a}xy\hat{j}\\ w=-ya+xa\\ Hence,\\ =a\left(-y+x\right)\end{array}$