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A secret communist spacecraft is observed approaching earth at 0.500c along a straight line from mars to earth.
1.) What distance does the spacecraft observe between mars and earth if earth based measurements show a distance between those objects of 40.0 million miles?
2.) The spacecraft prepares its nuclear weapons during a 20.0 minute warm up time measured in their frame of reference. How long is earth's measurement of their warm up time?
3.) The spacecraft launches a missile towards earth at a velocity of 0.900c measured relative to their ship. What speed does an earth based measurement show for the approach of the missile?
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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