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A police officer is driving due north at a constant speed of27 m/s relative to the ground when shenotices a truck on the east-west highway ahead of her, driving w estat a high speed. She finds that the truck's speed relative to hercar is 54 m/s (about 120 mph). (a) Sketch the vector triangle that showshow the truck's velocity relative to the ground is related to thepolice car's velocity relative to the ground and to the truck'svelocity relative to the police car. The sketch need not to be to scale, but the velocity vectors should be oriented correctly and bear the appropriate labels.
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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