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A police officer is driving due north at a constant speed of 28 m/s relative to the ground when she notices a truck on an east-west highway ahead of her, traveling west at high speed. She finds that the truck's speed relative to her car is 44 m/s (about 99 mph). On a sheet of paper, sketch the vector triangle that shows how the truck's velocity relative to the ground is related to the police car's velocity relative to the ground and to the truck's velocity relative to the police car. The sketch need not be to scale, but the velocity vectors should be oriented correctly and bear the appropriate labels. What is the truck's speed, relative to the ground?
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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