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An astronaut flies from the Earth to a distant star at 60% of the speed of light. As measured by the astronaut, the one-way trip takes 18 years.
a) How long does the trip take as measured by an observer on the Earth?
b) What is the distance from the Earth to the star (in light-years) as measured by an Earth observer?
c) What is the distance from the Earth to the star (in light-years) as measured by the astronaut?
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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