A cart for hauling ore out of a gold mine has a mass of 419 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.05° incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 377 N force for a distance of 111 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0181. Use g = 9.81 m/s², and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track. Find the work W₁ that the donkey performs on the cart during this process. W₁ = J B Track Rope Track incline Horizontal ground

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Chapter1: Units, Trigonometry. And Vectors
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0 A cart for hauling ore out of a gold mine has a mass of
419 kg, including its load. The cart runs along a straight
stretch of track that climbs a shallow 4.05° incline. A donkey,
which is trudging along and to the side of the track, has the
unenviable job of pulling the cart up the slope with a 377 N
force for a distance of 111 m by means of a rope that is
parallel to the slope but makes an angle of 14.5° with
the track.
Model the rolling resistance of the cart as though it were
sliding on the track with a coefficient of friction of 0.0181.
Use g = 9.81 m/s², and note that angle A in the image is the
angle of the incline while angle B is the angle the rope makes
with the track.
Find the work W₁ that the donkey performs on the cart
during this process.
W₁ =
J
A
B
Track
Rope
Track incline
Horizontal ground
Transcribed Image Text:0 A cart for hauling ore out of a gold mine has a mass of 419 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.05° incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 377 N force for a distance of 111 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0181. Use g = 9.81 m/s², and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track. Find the work W₁ that the donkey performs on the cart during this process. W₁ = J A B Track Rope Track incline Horizontal ground
Wa =
Find the work Wg that the force of gravity performs on the
cart during this process.
W₁ =
J
Wf =
J
Calculate the work Wf done on the cart by friction during this
process.
J
Transcribed Image Text:Wa = Find the work Wg that the force of gravity performs on the cart during this process. W₁ = J Wf = J Calculate the work Wf done on the cart by friction during this process. J
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