Is it true that, if displacement is in the opposite direction of applied force then negative work is done?

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Detailed Solution

The given statement is true.
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Work done is the sum of applied force and displacement in the direction of the force. If the direction of displacement is on the opposite side of the applied force then the work done will be negative.
We know

W = F \times S \times cosθ

Since the movement is in the direction opposite to the force applied then the angle between the force and displacement will be 180.

θ = 180 °; \cos 180 ° = - 1

W = F \times S \times (- 1)

(work done is negative)

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