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James Bond is riding a bike at 15 m/s, chasing Car #1 moving in the same direction at 35 m/s. Behind James is another car, Car 2, chasing him at 20 m/s. Both cars have horns blaring at a frequency of 390 Hz. Assume a sound speed of 340 m/s.
a. What frequency does James hear from Car 1?
b. From Car 2?
c. What is the beat frequency he hears?
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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