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boxes are transported from one location to another in a warehouse by means of a

ID: 1281096 • Letter: B

Question

boxes are transported from one location to another in a warehouse by means of a conveyor belt that moves with a constant speed of 0.61 m/s. at a certain location the conveyor belt moves for 4.0 m up an incline that makes an angle of 17° with the horizontal, then for 4.0 m horizontally, and finally for 4.0 m down an incline that makes an angle of 17° with the horizontal. assume that a 3.0 kg box rides on the belt without slipping. at what rate is the force of the conveyor belt doing work on the box (a) as the box moves up the 17° incline, (b) as the box moves horizontally, and (c) as the box moves down the 17° incline?

Explanation / Answer

a) W = Fg*s*costheta = -m*g*s*cos73 = -3*9.8*4*cos17 = -34.38 J

b) W = Fg*s*cos90 = 0


c) W = Fg*s*costheta = m*g*s*cos73 = 3*9.8*4*cos17 = 34.38 J