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Your moving car contains a lot of energy as kinetic energy - energy of motion.
If your car is not a hybrid, when you stop by stepping on the brake, your energy of motion is transformed by friction (in the brakes, against the road) into thermal energy. It can't be re-used. Estimate how many gallons of gasoline you could save each time you stopped your car from a speed of 100 km/hr if you could store that energy somehow and re-use it. [Hint: One gallon of gasoline contains about 1.2 x 109 Joules of energy. (1 Joule = 1 kg-m2/s2).] Be sure to clearly state your assumptions and how you came to the numbers you estimated, since grading on this problem will be mostly based on your reasoning, not on your answer.
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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