Question

Force F acts on a body such that force F makes an angle θ with the horizontal direction and the body is also displaced through a distance s in the horizontal direction, then the work done by the forcce is

• A. Fs
• B. $Fs\cos \theta$
• C. $Fs\sin \theta$
• D. Zero

Answer 1

The correct option is B

$Fs\cos \theta$

Explanation for correct answer:

1. Work done is the product of force and displacement along the direction of the force.

$$\begin{gathered} Workdone=\overrightarrow{Force.}\stackrel{\rightharpoonup }{s} \\ Workdone=Fs\cos \theta \end{gathered}$$

Thus, Force F acts on a body such that force F makes an angle θ with the horizontal direction and the body is also displaced through a distance s in the horizontal direction, work done is $Fs\cos \theta$. Hence, option b is correct.