Question

If the work done by a force applied on a body is directly proportional to the distance
travelled by the body, express this in the form of an equation in two variables, taking the
constant force as 3nunits. Also, read from the graph the work done when the distance
travelled by the body is (i) O unit, (ii) 2 units.
​

Answer 1

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

According to problem, ...(1)

Now , putting the value in (1)

So, the solution is

Putting the value in (1)

So, the solution is

Putting the value in (1)

So, the solution is

(i) When units (distance)

Putting the value in (1)

Hence, Work done

(ii) When units (distance)

Putting the value in (1)

.

Hence, work done