When a force retards the motion of a body,the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Work done $(W)$ is defined by the formula $W = F \cdot s \cdot \cos(	heta)$,where $F$ is the force,$s$ is the displacement,and $	heta$ is the an

Vedclass · Accepted Answer

negative

Vedclass · Answer

(C) Work done $(W)$ is defined by the formula $W = F \cdot s \cdot \cos(	heta)$,where $F$ is the force,$s$ is the displacement,and $	heta$ is the angle between the force and the displacement vectors.When a force retards (opposes) the motion of a body,the force acts in the direction opposite to the displacement.Therefore,the angle $	heta$ between the force and the displacement is $180^{\circ}$.Since $\cos(180^{\circ}) = -1$,the work done is $W = F \cdot s \cdot (-1) = -F \cdot s$.Thus,the work done is negative.

When a force retards the motion of a body,the work done is:

Similar Questions

$A$ porter moving vertically upstairs with a load on his head does work. Why?

$A$ person is holding a bucket by applying a vertical force of $10 \,N$. He moves a horizontal distance of $5 \,m$ and then climbs up a vertical distance of $10 \,m$. Calculate the total work done by him. (in $J$)

The $CGS$ unit of work is:

Define $1\, J$ of work.

Vedclass Test Series

Exam Paper Generator

Online Exam Module