What is the tension in the car's cable? Express your answer with the appropriate units. T=

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The cable cars in San Francisco are pulled along their tracks by an
underground steel cable that moves along at 9.5 mph. The cable is
driven by large motors at a central power station and extends, via an
intricate pulley arrangement, for several miles beneath the city streets.
The length of a cable stretches by up to 100 ft during its lifetime. To
keep the tension constant, the cable passes around a 1.5-m-diameter
"tensioning pulley" that rolls back and forth on rails, as shown in (
Figure 1). A m = 2000 kg block is attached to the tensioning pulley's
cart, via a rope and pulley, and is suspended in a deep hole.
m
T =
1.5 m
Cable
Rail
Part A
What is the tension in the car's cable?
Express your answer with the appropriate units.
Transcribed Image Text:The cable cars in San Francisco are pulled along their tracks by an underground steel cable that moves along at 9.5 mph. The cable is driven by large motors at a central power station and extends, via an intricate pulley arrangement, for several miles beneath the city streets. The length of a cable stretches by up to 100 ft during its lifetime. To keep the tension constant, the cable passes around a 1.5-m-diameter "tensioning pulley" that rolls back and forth on rails, as shown in ( Figure 1). A m = 2000 kg block is attached to the tensioning pulley's cart, via a rope and pulley, and is suspended in a deep hole. m T = 1.5 m Cable Rail Part A What is the tension in the car's cable? Express your answer with the appropriate units.
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