What is the tension in the cable cars cable


The cable cars in San Francisco are pulled along their tracks by an underground steel cable that moves along at 9.5 . 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 during its lifetime. To keep the tension constant, the cable passes around a 1.5--diameter "tensioning pulley" that rolls back and forth on rails, as shown in the figure. A = 1900 block is attached to the tensioning pulley's cart, via a rope and pulley, and is suspended in a deep hole. What is the tension in the cable car's cable?

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Physics: What is the tension in the cable cars cable
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