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 EX7.16. A 2000 kg 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?
Step 1 of 2
We have to find the tension in the cable car’s cable.
The Tension (Force) in the block can be found using Newton’s second law.
mass of block = 2,00 kg
acceleration of the gravity
= 9.80 m/s2