A cart for hauling ore out of a gold mine has a mass of 415 kg415 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.53∘4.53∘ incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 404 N404 N force for a distance of 197 m197 m by means of a rope that is parallel to the slope but makes an angle of 13.1∘13.1∘ with the track.
Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.01770.0177. Use ?=9.81 m/s2g=9.81 m/s2, and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track.
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