The Total solution for NCERT class 6-12
If the work done by a body on application of a constant force isdirectly proportional to the distance travelled by the body, express this inthe form of an equation in two variables and draw the graph of the same bytaking the constant force as 5 units. Also read from the graph the work donewhen the distance travelled by the body is
(i) 2 units (ii) 0 units
Let the distance travelled and the work done by the body be x and y respectively.
Work done ∝distance travelled
y ∝ x
y = kx
Where, k is a constant
If constant force is 5 units, then work done y = 5x
(i)From the graphs, it can be observed that the value of y correspondingto x = 2 is 10. This implies that the work done by the body is10 units when the distance travelled by it is 2 units.
(ii) From the graphs, it can be observed that the value of y correspondingto x = 0 is 0. This implies that the work done by the body is0 units when the distance travelled by it is 0 unit.