A cart for hauling ore out of a gold mine has a mass of 431 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.85° 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 445 N force for a distance of 185 m by means of a rope that is parallel to the slope but makes an angle of 14.9° with the track. Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0173. 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.

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Chapter1: Units, Trigonometry. And Vectors
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A cart for hauling ore out of a gold mine has a mass of
431 kg, including its load. The cart runs along a straight
stretch of track that climbs a shallow 4.85° 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 445 N force for a distance of 185 m by means of a rope
that is parallel to the slope but makes an angle of 14.9 with
A.
Tra
the track.
H
Model the rolling resistance of the cart as though it were
sliding on the track with a coefficient of friction of 0.0173.
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 Wa that the donkey performs on the cart
during this process.
Wa =
Transcribed Image Text:A cart for hauling ore out of a gold mine has a mass of 431 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.85° 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 445 N force for a distance of 185 m by means of a rope that is parallel to the slope but makes an angle of 14.9 with A. Tra the track. H Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0173. 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 Wa that the donkey performs on the cart during this process. Wa =
Question 3 of 4
Find the work Wa that the donkey performs on the cart
during this process.
Wa =
%3D
Find the work W, that the force of gravity performs on the
cart during this process.
Wg
%3D
Calculate the work Wf done on the cart by friction during
this
process.
W =
Transcribed Image Text:Question 3 of 4 Find the work Wa that the donkey performs on the cart during this process. Wa = %3D Find the work W, that the force of gravity performs on the cart during this process. Wg %3D Calculate the work Wf done on the cart by friction during this process. W =
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