Answer:
- 83 J
Explanation:
[tex]\overrightarrow{F}=4\widehat{i}+5\widehat{j}[/tex]
[tex]\overrightarrow{r_{i}}=5\widehat{i}+6\widehat{j}[/tex]
[tex]\overrightarrow{r_{f}}=-2\widehat{i}-5\widehat{j}[/tex]
[tex]\overrightarrow{d}=\overrightarrow{r_{f}}-\overrightarrow{r_{i}}[/tex]
[tex]\overrightarrow{d}=\left ( -2-5 \right )\widehat{i}+\left ( -5-6 \right )\widehat{j}[/tex]
[tex]\overrightarrow{d}=-7\widehat{i}-11\widehat{j}[/tex]
Work done
[tex]W=\overrightarrow{F}.\overrightarrow{d}[/tex]
[tex]W=\left (4\widehat{i}+5\widehat{j} \right ).\left (-7\widehat{i}-11\widehat{j} \right )[/tex]
W = - 28 - 55
W = - 83 J
Thus, the work done is - 83 J.