By Team Aakash Byju's | 21st December 2022

Curved Dotted Line

A coolie with a load on his head walking on a horizontal road. What is the work done against gravity?

Work done by a coolie, walking on a level road with a load on his head, on the load is zero.

We know that, Work Done =  Force × displacement Or 

Where, cos θ is the angle between the force vector and displacement vector.

W = F⋅s = Fs cosθ

Arrow

Force by  person

Arrow

Displacement

If the displacement is along the horizontal direction as shown in the image, the force is a normal force which is equal to the product of mass and gravity.

N

S

mg

W = Fs cosθ and

F = N = mg

Since the angle between the force vector and displacement vector is 90, we can write-

°

W = Fs cosθ

W = Fs cos90

W = 0 J (    cos90 = 0)

. .

.

W = Fs cosθ

θ

F

F cosθ

s

°

°