A cart for hauling ore out of a gold mine has a mass of 423 kg,including its load. The cart runs along a straight stretch of trackthat is sloped 4.51° from the horizontal. A donkey, trudging alongand to the side of the track, has the unenviable job of pulling thecart up the slope with a 535-N force for a distance of 159 m bymeans of a rope that is parallel to the ground and makes an angleof 13.1° with the track. The coefficient of friction for thecart\'s wheels on the track is 0.0127. Take g = 9.81 m/s2.
a)Find the work that the donkey performs on the cart during thisprocess.
b)Find the work that the force of gravityperforms on the cart during the process.
c)Calculate the workdone on the cart during the process by friction.