A cart for hauling ore out of a gold mine has a mass of 415 kg, including its load. The cart runs along a straight stretch of track that is sloped 4.83° from the horizontal. A donkey, trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 429-N force for a distance of 151 m by means of a rope that is parallel to the ground and makes an angle of 13.7° with the track. The coefficient of friction for the cart's wheels on the track is 0.0183. Use g = 9.81 m/s2.
Find the work that the donkey performs on the cart during this process.
Find the force gravity performs on the cart.
Calculate the work done on the cart by friction.