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Two students are on a balcony a distance h above the street. One student throws a ball vertically downward at a speed v1; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v1, g, h, and t.
a) Discover the velocity of each ball as it strikes the ground.
b) How far apart are the balls at a time t after they are thrown and before they strike the ground?
c) What is the time interval between when the first ball strikes the ground and the second ball strikes the ground?
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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