A passenger at an airport pulls a rolling suitcase by its handle. If the force used is 10 N and the handle makes an angle of 25 degrees to the horizontal, what is the work done by the pulling force while the passenger walks 200 m?

W = 1812.6 J

Explanation:

Work (W) is defined as the scalar product of force F by the distance (d) the body travels due to this force.

W = F*d * cosα Formula (1)

Where:

F is the force in Newtons (N)

d is the displacemente in meters (m)

α : Angle formed between force and displacement

Data

F = 10 N

d = 200 m

α = 25°

Work done by the pulling force while the passenger walks 200 m

We replace data in the formula (1)

W = F*d * cosα

W = (10 N) * (200 m) * cos25°

W = 1812.6 (N*m)

W = 1812.6 J