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A 80 kg fullback attempts to score a touchdown by diving over the goal line. When he is at the goal line and moving horizontally at 6.0 m/s, he is met in midair by an opposing 90 kg linebacker who is initially moving at 4.0 m/s in the opposite direction. The two meet in a head-on collision at the goal line.
a. Does the fullback cross the goal line?
b. What is the collective velocity of the two players after they make contact?
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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