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A 3-kg rock is tied to the end of a string and twirled overhead, 1.9 m above the ground, in a 0.8-m radius, horizontal circle. The string is known to break if its tension reaches a value of 586 N. The rock it rotated faster and faster until the string breaks. How far away from its location when the string breaks will the rock hit the ground? Your answer should be given in meters, to the nearest centimeter.
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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