In each of the following cases,a force $F$ is acting on an object of mass $m$. The direction of displacement is from west to east,shown by the longer arrow. Observe the diagrams carefully and state whether the work done by the force is negative $(-ve)$,positive $(+ve)$,or zero $(0)$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Case $I$: The force $F$ is acting in the vertically upward direction,while the displacement of the object is in the horizontal direction (from west to east). Since the force and displacement are perpendicular to each other (angle $\theta = 90^\circ$),the work done is $W = F \cdot s \cdot \cos(90^\circ) = 0$.
Case $II$: Here,the force $F$ is applied in the same direction as the displacement. Since the angle between force and displacement is $0^\circ$,the work done is positive $(+ve)$,as $W = F \cdot s \cdot \cos(0^\circ) = F \cdot s$.

Explore More

Similar Questions

$A$ body is moving with constant speed over a frictionless surface. What is the work done by the weight of the body?

Give an example of negative work.

$A$ force of $7\, N$ acts on an object. The displacement is $8\, m$ in the direction of the force. What is the work done in this case (in $, J$)?

How much work is done by a weight lifter when he holds a weight of $80 \,kg$ on his shoulders for two minutes?

$A$ person holds a bundle of hay over his head for $30$ minutes and gets tired. Has he done some work or not? Justify your answer.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo