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Usain Bolt, the fastest man in the world, stands at the beginning of an infinite flight of stairs, waiting for a nearby cannon to shoot a tennis ball straight up into the air. If he can climb one flight of stairs every 3 seconds, each of which is 10m tall, and the cannon shoots the tennis ball with an initial velocity of 250m/s:
A. How many flights of stairs can he climb before he'll need to lean out the window to catch the ball?
B. What will the speed of the ball be when he catches it?
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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