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An ant, crazed by the sun on a hot Texas afternoon, darts over an xy plane scratched in the dirt. The x and y components of four consecutive darts are the following, all in centimeters: (-70, 40), (bx, 50), (-90, cy), (-50, -45). The overall displacement of the four darts has the xy components (-245, 125). (a) What is bx? cm (b) What is cy? cm What are the magnitude and angle (relative to the positive x axis) of the overall displacement? (c) magnitude? cm (d) direction?
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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