Map Sapling Learning macmillan learning A cart for hauling ore out of a gold min
ID: 1584679 • Letter: M
Question
Map Sapling Learning macmillan learning A cart for hauling ore out of a gold mine has a mass of 437 kg, including its load. The cart runs along a straight stretch of track that is sloped 5.01° 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 451-N force for a distance of 145 m by means of a rope that is parallel to the ground and makes an angle of 13.3° with the track. The coefficient of friction for the cart's wheels on the track is 0.0151. Use g = 9.81 m/s2 Find the work that the donkey performs on the cart during this process. Number 13.3° track Find the work that the force of gravity performs on the cart during the process. Y-.rope Number 01 ° Calculate the work done on the cart during the process by friction. track incline horizontal ground NumberExplanation / Answer
a) Work done by donkey = F d cos theta
= 451 * 145 * cos 13.3
= 63,641 J = 6.36 * 104 J
b) Work done by gravity = -437 * 9.8 * 145 * sin 5.01
= -54,230 J = -5.42 * 104 J
c) Work done by friction = -mu * m g d cos theta
= -0.0151 * 437 * 9.81 * cos 5.01 * 145
= -9340 J