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work = force . distance.

Since Force and distance are both vectors (work is the dot product), when the net distance = 0 (back to the point of origin), work = 0. That is, if the force is such that it moves the object back to the point of origin, it has done zero work.

A centripetal force is one example. The distance = 0 when the object finishes one complete revolution. No work has been done since the beginning of the revolution.

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