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Work done is negative when 90o < θ <= 180o as Cos θ is negative. We can also say that work done by a force is negative if the applied force has a component in a direction opposite to the displacement.

examples:- work done by frictional force
                     work done by gravitational force

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Work done is against the direction of force applied then negative work is done.
Ex- Work done by frictional force
Work done by gravitational force
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