A box is pushed through 4.0 m across a floor offering 100 N resistance. How much work is done by the resisting force?

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Solution

Resisting force acting on the box, $F = 100 N$
Displacement of the box, S = 4 m
Also, $θ = 180 °$

∴ Work done by the resisting force, $W = \underset{F}{\to} \cdot \underset{S}{\to} = 100 \times 4 \times \cos 180 ° = - 400 J$

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