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A particle undergoes two displacements. The first has a magnitude of 11 m and makes an angle of 63 ? with the positive x axis. The result after the second displacement is 8.7 m directed at an angle of 109? to the positive x axis using counterclockwise as the positive angular direction.
Find the angle of the second displacement measured counterclockwise from the positive x axis (i.e., a positive angle). Answer in units of ? .
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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