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  4. A force vecF=(5 hati+3 hatj) newton is applied over a particle which displaces it from its origin to the point vecr=2 hati- hatj metres. The work done on the particle is

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Q. A force $\vec{F}=(5 \hat{i}+3 \hat{j})$ newton is applied over a particle which displaces it from its origin to the point $\vec{r}=2 \hat{i}-\hat{j}$ metres. The work done on the particle is

Solution:

$W=\vec{F} \vec{s}=(5 \hat{i}+3 \hat{j}) \cdot(2 \hat{i}-\hat{j})$
$=10-3$
$=7 \,J$