A cart for hauling ore out of a gold mine has a mass of 437 kg, including its lo

Question

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 4.11 degree from the horizontal. A donkey trudging along and to the side of the track, has the unenviable job of puling the cart up the slope with a 385-N force for a distance of 173 m by moans of a rope that is parallel to the ground and makes an angle of 12.3 degree with the track. The coefficient of friction for the cart's wheels on the track is 0.0161. Use g = 9.81 m/s^2 Find the work that the donkey performs on the cart during this process. Find the work that the force of gravity performs on the cart during the process Calculate the work done on the cart during the process by friction

Explanation / Answer

the work that donkey performs is

W_d = F d cos theta

=385 ( 173) cos 12.3

=65076.12 J

(d)

by the gravity

W-g = - mg sin tehta * d

= -437 (9.8) sin4.11 ( 173)

=-53100.70 N

(3)

by the friction

W_f = - f d

= - uk mg cos theta d

= -(0.0161) 437 (9.8) cos4.11 ( 173)

=-11897.649 J

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