This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.7° above the horizontal. The car accelerates uniformly to a speed of 2.32 m/s in 13.7 s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? (b) What maximum power must the motor provide? (c) What total energy transfers out of the motor by work by the time the car moves off the end of the track, which is of length 1,250 m? Step 1 (a) When the car is being towed up the incline at constant speed, the tension F in the cable is equal to the component the force down the incline due to the weight of the loaded car. F = mgsine Let v be the car's constant speed and m the mass of the car. The power P input from the motor is P=Fv = mgvsine =1 kg) (9.80 m/s²)( x 10 W = kW. m/s) (sin
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.7° above the horizontal. The car accelerates uniformly to a speed of 2.32 m/s in 13.7 s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? (b) What maximum power must the motor provide? (c) What total energy transfers out of the motor by work by the time the car moves off the end of the track, which is of length 1,250 m? Step 1 (a) When the car is being towed up the incline at constant speed, the tension F in the cable is equal to the component the force down the incline due to the weight of the loaded car. F = mgsine Let v be the car's constant speed and m the mass of the car. The power P input from the motor is P=Fv = mgvsine =1 kg) (9.80 m/s²)( x 10 W = kW. m/s) (sin
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the
skipped part.
Tutorial Exercise
A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.7°
above the horizontal. The car accelerates uniformly to a speed of 2.32 m/s in 13.7 s and then continues at constant speed.
(a) What power must the winch motor provide when the car is moving constant speed?
(b) What maximum power must the motor provide?
(c) What total energy transfers out of the motor by work by the time the car moves off the end of the track, which is of length 1,250 m?
Step 1
(a) When the car is being towed up the incline at constant speed, the tension F in the cable equal to the component of the force down the incline due to the weight of the loaded car.
F = mgsine
Let v be the car's constant speed and m the mass of the car. The power P input from the motor is
P=Fv = mgvsing
=1
kg) (9.80 m/s²)
x 104 W =
Submit Skip (you cannot come back)
kW.
m/s) (sin
1.)
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