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A body constrained to move along the $z-a x i s$ of a coordinate system is subjected to a constant force $\vec{F}=(-\hat{i}+2 \hat{j}+3 \hat{k})$ N Where $\hat{i}, \hat{j}$ \& $\hat{k}$ are unit vector along the $x-, y-\& z$-axis respectively. What is the work done by this force in moving the body over a distance of $4 \mathrm{~m}$ along the z-axis?
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$\vec{F}=(-\hat{i}+2 \hat{j}+3 \hat{k}) N$ and $\vec{S}=4 \hat{k} \mathrm{~m}$
Since the displacement is in the direction of applied force $\theta=0^{\circ}$
$W=\vec{F} \cdot \vec{S}=(-\hat{i}+2 \hat{j}+3 \hat{k}) \cdot(4 \hat{k})=12 J$
Since the displacement is in the direction of applied force $\theta=0^{\circ}$
$W=\vec{F} \cdot \vec{S}=(-\hat{i}+2 \hat{j}+3 \hat{k}) \cdot(4 \hat{k})=12 J$
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