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Scott, riding for the Mercury team, won the 2002 Mt. Rushmore Hill Climb bicycle race with a winning time of 1 hour 50 minutes 20 seconds. The race is 28 miles in length with a total altitude gain of 7000ft. Scott weighs in at 130 lbs and his hill climbing bike weighs 17 lbs. The total weight of his water bottles, shoes, clothing, tools, etc was 5 lbs. Find the average power produced by Scott, in Watts, during this race. Assume the 75% of his energy was expended overcoming gravity and the rest was in air resistance and rolling resistance.
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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