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The 2000 kg cable car descends a 200-m-high hill. In addition to its brakes, the cable car controls its speed by pulling an 1800 kg counterweight up the other side of the hill. The rolling friction of both the cable care and the counterweight are negligible.
A. How much braking force does the cable car need to descend at a constant speed?
B. One day the brakes fail just as the cable care leaves the top on it's downward journey. What is the runaway car's speed at the bottom of the hill.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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