Question:
A particle moves from a point $\mathrm{r}=(2 \mathrm{~m})^{\hat{\imath}}+(3 \mathrm{~m})^{\hat{\jmath}}$ to another point $\mathrm{r}_{2}=(3 \mathrm{~m})^{\hat{\imath}}+(2 \mathrm{~m})^{\hat{\jmath}}$ during which a certain force $\mathrm{F}=(5 \mathrm{~N}) \hat{\imath}$ $+(5 \mathrm{~N})^{\hat{\jmath}}$ acts on it. Find the work done by the force on the particle during the displacement.
Solution: