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A target in a shooting range consists of a square wooden board of side length S = 0.500 meter and mass mT = 0.750 kg, that pivots on a horizontal axis along its top edge. The target is struck, normally, at its center by a bullet of mass mB = 1.90 g that is travelling initially at vi = 360 m/s. The bullet goes completely through the target, emerging at only vf = 100 m/s on the opposite side. What is the angular speed of the target just after the collision?
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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