Astronomers detect stars that are rotating extremely rapidly, known as neutron stars. A neutron star is believed to form from the inner core of a larder star that collapsed, under its own gravitation, to a star of very small radius and very high density. Before collapse, suppose the ore of such a star is the size of our Sun (R = 7105km)with mass 2.0 times as great as the Sun, and is rotating at a frequency of 1.0 revolution every 100 days. If it were to undergo gravitational collapse to a neutron star of radius 10 km, what would its rotation frequency be? Assume the star is a uniform sphere at all times and loses no mass
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