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Q1. A rocket-powered sled starts from rest on a frozen lake that is 8 miles across. The sled then accelerates at +20 ft/s for 2 minutes. Then, the rockets are shut off and the sled coasts with a constant velocity of 2400 ft/s. If the total distance traveled by the sled is 432000 feet in a time of 3 minutes, find how long the sled was coasting.
Q2. In 1920, a thoroughbred racehorse named Man O'War ran the Preakness Stakes in 1 minute and 44 seconds. The Preakness is 9.5 furlongs in length (1furlong=201.168m). What was the acceleration (in SI units) of the horse if he reached a maximum speed of 50 miles per hour after the first two furlongs and slowed down at a constant rate of .45m/s2 after crossing the finish line?
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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