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A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by $F = i + 2 j + 3 k$ . What is the work done by this force in moving the body a distance of 4 m along the z-axis ?

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12J

24J

48J

answer is A.

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Detailed Solution

$\begin{aligned} \vec{S} = 4 \hat{k} m \end{aligned}$

$W = \vec{F} \cdot \vec{S} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) \cdot 4 \hat{k} J$

$= 12 J$

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