A cart for hauling ore out of a gold mine has a mass of 411 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.45∘ 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 393 N force for a distance of 127 m by means of a rope that is parallel to the slope but makes an angle of 13.3∘ with the track.
Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0173. Use ?=9.81 m/s^2, 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.
Find the work Wd that the donkey performs on the cart during this process.
Find the work ?g that the force of gravity performs on the cart during this process.
Calculate the work ?f done on the cart by friction during this process.
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