A cart for hauling ore out of a gold mine has a mass of 445 kg, including its lo

Question

A cart for hauling ore out of a gold mine has a mass of 445 kg, including its load. The cart runs along a straight stretch of track that is sloped 4.15 degree 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 405-N force for a distance of 179 m by means of a rope that is parallel to the ground and makes an angle of 15.1 degree with the track. The coefficient of friction for the cart's wheels on the track is 0.0173. 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

A.

work done by the donkey

W = F*s*cos theta

W = 405*179*cos 15.1 deg = 69991.93 J

W = 6.99*10^4 J

B.

work done by gravity

Wg = -m*g*h

Wg = -445*9.81*179*sin 4.15 deg = 56549.36 J

Wg = 5.65*10^4 J

C.

work done by friction

Wf = Ff*s*cos theta

Ff = uk*N = uk*m*g*cos 4.15 deg

Wf = 0.0173*445*9.81*cos 4.15 deg*179*cos 0 deg = 13483.04 J

Wf = 1.35*10^4 J

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.