sapling learning A cart for hauling ore out of a gold mine has a mass of 423 kg,

Question

sapling learning 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 track that is sloped 4.79 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 434-N force for a distance of 155 m by means of a rope that is parallel to the ground and makes an angle of 12.3 with the track. The coefficient of friction for the cart's wheels on the track is 0.0187. Use g 9.81 m/s Find the work that the donkey performs on the cart during this process. Number 12.3 track Find the work that the force of gravity rope performs on the cart during the process Number 79 o Calculate the work done on the track incline cart during the process by friction. horizontal ground Number Check Answer Next Exit Previous 8 Hint

Explanation / Answer

a) work by donkey =force*displacement= 434*cos(12.3 degree)*155 = 65725.85 J

b) work by force of gravity = -mgsin(4.9 degree)*displacement = - 423*9.81*0.0854*155 = -54928.65 J

c) work by force of friction = -Uk*mgcos(4.9 degree)*displacement = - 0.0187*423*9.81*0.996*155 = -11979.59 J

negative because friction force and gravitational force acting in opposite direction of displacement .

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