Question

Jay fills a wagon with sand (about 20 kg) and pulls it with a rope 40 m along the beach. He holds the rope 25â above the horizontal. The rope exerts a 20-N tension force on the wagon. How much work does the rope do on the wagon?

Answer 1

W = 725 J

Step-by-step explanation:

given,

mass of wagon = 20 kg

distance of pull = 40 m

angle made with the horizontal = 25°

tension force on the wagon = 20 N

Work done = ?

Horizontal component of the force will help in movement of the wagon.

Horizontal component of force=

F_x = F cos θ

Work done is equal to force into displacement

W = F.s

W = F cos θ.s

W = 20 cos 25° x 40

W = 725 J

hence, work done on pulling the wagon is equal to W = 725 J