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 32.0° above the horizontal. The car accelerates uniformly to a speed of 2.05 m/s in 14.0 s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? kW (b) What maximum power must the motor provide? kW (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?

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 41P: A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from...
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9.
DETAILS
10.
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 32.0° above the
horizontal. The car accelerates uniformly to a speed of 2.05 m/s in 14.0 s and then continues at constant
speed.
(b) What maximum power must the motor provide?
kw
(a) What power must the winch motor provide when the car is moving at constant speed?
KW
MY NOTES
DETAILS
(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?
ASK YOUR TEACHER
MY NOTES
Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure
below. The object of mass m, 6.80 kg is released from rest at a height = 5.40 m above the table.
DETAILS
O
(a) Using the isolated system model, determine the speed of the object of mass m₂ = 3,00 kg
Just as the 6.80-kg object hits the table.
m/s
(b) the change in the potential energy of the system
ASK YOUR TEACHER
(b) Find the maximum height above the table to which the 3.00-kg object rises.
m
MY NOTES
ASK YOUR TEACHER
A single conservative force acts on a 4.90-kg particle within a system due to its interaction with the rest
of the system. The equation F = 2x+4 describes the force, where F is in newtons and x is in meters.
As the particle moves along the x axis from x 0.90 m tox 6.85 m, calculate the following.
(a) the work done by this force on the particle
(c) the kinetic energy the particle has at x = 6,85 m if its speed is 3,00 m/s at x = 0.90 m
Transcribed Image Text:A 9. DETAILS 10. 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 32.0° above the horizontal. The car accelerates uniformly to a speed of 2.05 m/s in 14.0 s and then continues at constant speed. (b) What maximum power must the motor provide? kw (a) What power must the winch motor provide when the car is moving at constant speed? KW MY NOTES DETAILS (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? ASK YOUR TEACHER MY NOTES Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The object of mass m, 6.80 kg is released from rest at a height = 5.40 m above the table. DETAILS O (a) Using the isolated system model, determine the speed of the object of mass m₂ = 3,00 kg Just as the 6.80-kg object hits the table. m/s (b) the change in the potential energy of the system ASK YOUR TEACHER (b) Find the maximum height above the table to which the 3.00-kg object rises. m MY NOTES ASK YOUR TEACHER A single conservative force acts on a 4.90-kg particle within a system due to its interaction with the rest of the system. The equation F = 2x+4 describes the force, where F is in newtons and x is in meters. As the particle moves along the x axis from x 0.90 m tox 6.85 m, calculate the following. (a) the work done by this force on the particle (c) the kinetic energy the particle has at x = 6,85 m if its speed is 3,00 m/s at x = 0.90 m
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