Which of the following formulae is correct for work?

Question

Question

Answer 1

Option 2 is correct, i.e. W = F.S cosθ.

CONCEPT:

Work: Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.
Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by:

\(W = \vec F \cdot \vec s\)

Or, W = Fs cos θ

Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the body.

EXPLANATION:

Work done (W) = F.s cosθ

So option 2 is correct.