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An engineer sets out from home to attend a meeting. For the first 90 minutes, she drives east at 30 km/h, then slows down to 10 km/h (still heading east) for the next 5 km. Traffic then comes to a standstill for one hour. After this time, she realizes that she will miss the meeting, so she drives home at 60 km/h. (Assume that all motion is along a straight line.)
a. Draw a velocity versus time graph for her journey.
b. Draw a position versus time graph for her journey.
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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