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Q1. A typical Major League fastball is thrown at about 99 mph and with a spin rate of 103 rpm. If the distance between the pitcher's point of release and the catcher's glove is exactly 65.5 ft, how many full turns does the ball make between release and catch? Neglect any result of gravity or air resistance on the ball's flight.
Q2. Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed when the surface magnetic field exceeds 0.100 T. In the absence of any external magnetic field, determine the maximum current a 1.53-mm-diameter niobium wire can carry and stay superconducting.
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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