Question

If the work done by a body on applying a constant force is directly proportional to the distance travelled by the body, then express this in the form of an equation in two variables by taking the constant force as 4 units. From the graph, find the work done when the distance travelled is
(i) 2 units
(ii) 0 unit
(iii) 5 units

Answer 1

Let work done by the body = $W$
Constant force = 4 units
Let distance travelled by the body = $d$
According to the given condition, we have:
$W=4d$ (∵ Work = Distance $\times$ Force)
So,
when $d=0$, then $W=0$
when $d=2$, then $W=8$
Plot these points on the graph paper. Join the points and extend them in both the directions.
Then, we have:
(i) If $d=2$, then $W=8$ units
(ii) If $d=0$, then $W=0$ units
(iii) If $d=5$, then $W=20$ units