157k views
0 votes
Boxes are transported from one location to another in a warehouse by means of a conveyor belt that moves with a constant speed of 0.56 m/s. At a certain location the conveyor belt moves for 2.0 m up an incline that makes an angle of 15° with the horizontal. Assume that a 2.1 kg box rides on the belt without slipping. At what rate is the force of the conveyor belt doing work on the box as the box moves up the 15° incline?

User Menardmam
by
5.0k points

1 Answer

6 votes

Answer:

P = 15.90 W

Step-by-step explanation:

given,

speed of conveyor belt = 0.56 m/s

conveyor belt move up to = 2 m

angle made with the horizontal = 15°

mass of the box = 2.1 kg

rate is the force of the conveyor belt doing work on the box as the box moves up

P = F v cos ∅

P = 3 × 9.8 × 0.56 × cos 15°

P = 15.90 W

User Dianakarenms
by
5.5k points