Question

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 work done be, W Distance travelled be D. If constant force is K, then Force is directly proportional to the distance travelled by the body. 

∴ W ∝ D. 

W = K × D 

Constant force, K = 5 units. 

W = 5 × D linear equation. 

If D = 2, then W = 5D 

W = 5 × 2 

W = 10 

If D = 0, then W = 5D 

W = 5 × 0 

W = 0