Question

Match the work done based on the angle between force and displacement.

• A. Work done is zero
• B. Workdone is positive
• C. Workdone is negative

Answer 1

Work is a scalar quantity. It is calculated as
$W=F\times scos\theta$, where $\theta$ is the angle between the force applied and the displacement. $F$ and $s$ are force applied and the displacement respectively.
When $0^{\circ }<\theta$< ${90}^{\circ }$, the value of $\cos \theta$ is greater than 0 and less than 1, the work done is positive.
When ${90}^{\circ }<\theta <{270}^{\circ ,}$the value of $\cos \theta$ is negative. So work done becomes negative.
When $\cos \theta$ = 90°, the value of $\cos \theta$ is zero and so the work done is always zero.