Q.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

Solution:

Let the distance traveled by the body be x and the work done by the force be y.

y ∝ x (Given)

⇒ y = 5x (We are given constant force = 5N)

We can tabulate the solutions and draw the graph as follows,

x

2

0

y

10

0

From the graph also, we can read that

displacement = 1unit

⇒ work done = 5 units

displacement = 2 units

⇒ work done = 10 units

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