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Q. A window washer pulls herself upward using a bucket pulley apparatus. The mass of the person plus bucket is 61 kg. How hard must she pull downward to raise herself slowly at constant speed?
Q. A train has a length of 114 m and starts from rest with a constant acceleration at time t = 0 s. At this instant, a car just reaches the end of the train. The car is moving with a constant velocity. At a time t = 10 s, the car just reaches the front of the train. Ultimately, however, the train pulls ahead of the car, and at time t = 20 s, the car is again at the rear of the train. Find the magnitudes of the following quantities.
(a) the car's velocity
(b) the train's acceleration
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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