Question

Question 6
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also, read from the graph the work done when the distance travelled by the body is:
(i) 2 units (ii) 0 unit

Answer 1

Let the distance travelled by the body be x and work done by the body be y.
Work done is proportional to distance travelled.
y = kx
Where, k is a constant.
If constant force is 5 units, then work done y = 5x
According to statement,
(i) When x = 2 units then y = 10 units
(ii) When x = 0 unit then y = 0 unit
$\begin{array}{ccc}x& 2& 0\\ y& 10& 0\end{array}$