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Two footballs, one white and one green, are on the ground and kicked by two different footballers. The white ball, which is kicked straight upward with initial speed v0, rises to height H.
The green ball is hit with twice the initial speed but reaches the same height.
(a) What is the y-component of the green ball's initial velocity vector? Give your answer in terms of vo alone.
(b) Which ball is in the air for a longer amount of time?
(c) What is the range of the green ball? Your answer should only depend on H.
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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