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Two cars have collided at right angles at an intersection: Car A was eastbound; car B was northbound. The marks on the pavement show that the vehicles both moved together in the same direction immediately after the collision. That direction was at an angle of 52.3° north of east (i.e. 52.3° above the positive x-axis). It is known than car A (m = 1000 kg) was moving at 20 m/s just prior to the crash, and car B was moving at 25 m/s just prior to the crash. What was the mass of car B? Same situation as in the first part, but this time suppose you know the mass of car B (1200 kg) but not its speed prior to the collision. Find that speed.
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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