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Question: (a) Using elementary Newtonian mechanics find the period of a mass m1 in a circular orbit of radiusr around a fixed mass m2.
(b) Using the reduced-mass formalism, find the corresponding period for the case that m2 is notfixed and the masses move around their CM being a constant distance r apart. Discuss the limitof this result if m2 >> m1.
(c) What would be the orbital period if the earth were replaced by a star of mass equal to the solarmass, in a circular orbit, with the distance between the sun and star equal to the present earth-sundistance?
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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