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Positive and Negative Work

Work done by a force may be positive or negative depending on the angle q between the force and displacement. If the angle q is acute (q < 90o), then the work done is positive and the component of force is parallel to the displacement.
positive and negative workdone by a force F

If the angle q is obtuse (q > 90o), the component of force is antiparallel to the displacement and the work done by force is negative.

Zero Work Done

It is clear from the equation that the work done by a force is zero when


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(a) F = 0
(b) s = 0
(c) cosq =l 0
or q = 90o

zero work done

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