In case of negative work, the angle between the force and displacement is:
(a) $0^{o}$
(b) $45^{o}$
(c) $90^{o}$
(d) $180^{o}$
The work done can be negative when the direction of the applied force and the direction of the displacement are opposite. so, the angle between the directions of the applied force and the displacement should be $180^o$.
Therefore, option (d) is correct.
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