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Two boats start together and race across a 68 km wide lake and back. Boat A goes across at 68 km/h and returns at 68 km/h. Boat B goes across at 34 km/h, and it crew, realizing how far behind it is getting, returns at 102 km/h. Turnaround times are negligible, and the boat that completes the round-trip first wins. Which boat wins and by how much? (Or is it a tie?)
(a) By how much? (Enter NONE if it was a tie.)
(b) What is the average velocity of the winning boat? (Enter NONE if it was a tie.)
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.
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