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An extremely dense neutron with mass equal to that of the sun has a radius of about 10 km about the size of Manhattan Island. These stars are thought to rotate once about every 0.03 to 4 s, depending on their size and mass. Assume that the neutron star described in the first sentence rotates once every 0.040 s. If its volume then expanded to occupy a uniform sphere of radius 1.4x10^8 m with no change in mass or rotational momentum, what time interval would be needed for one rotation? By comparison, the sun rotates once about its axis each month.
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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