Sapling Learning Mapo A cart for hauling ore out of a goid mine has a mass of 40

Question

Sapling Learning Mapo A cart for hauling ore out of a goid mine has a mass of 409 kg, including its load. The cart runs along a straight stretch of track that is sloped 4.25 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 378-N force for a distance of 191 m by means of a rope that is parallel to the ground and makes an angle of 12.7 with the track. The coefficient of friction for the cart's wheels on the track is 0.0179. Use g 9.81 m/s Find the work that the donkey performs on the cart during this process Number 12.7° track Find the work that the force of gravity performs on the cart during the process - rope Number 25° Calculate the work done on the cart during the process by friction. track incline horizontal ground Number

Explanation / Answer

Work done = F.d (cross product)

= F d cos(theta)

W_donkey = (378) (191) (cos12.7)

= 70431.6 J .....Ans

W_gravity = - (409 x 9.8) (191) (cos(90 - 4.25))

= 56735 J .......Ans

N = m g cos4.25

f = u N = 0.0179 x 408 x 9.8 x cos4.25 = 71.37 N

W = 71.37 x 191 x cos180

= - 13632.54 J .......Ans

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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