First slide

Work

Question

A force $\vec{F} = 5 \hat{i} + 6 \hat{j} - 4 \hat{k}$ N acting on a body, produces a displacement $\vec{s} = 6 \vec{i} + 5 \vec{k}$ m. Work done (in J) by the force is

Easy

Solution

$W = \vec{F} . \vec{s} = (5 \hat{i} + 6 \hat{j} - 4 \hat{k}) . (6 \hat{i} + 5 \hat{k}) = 30 - 20 = 10 J$

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