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1 a neutron star is formed when an object like the sun collapses. Suppose a uniform spherical star of mass M and radius R collapses to a uniform sphere of radius 10^-5 R. If the original star has a rotation rate of 1 rev each 25 days, (like the sun) what will be the rotation rate of the neutron star? WHY? Please give detailed explanation for BOTH questions.

#2 a large horizontal disk is rotating on a vertical axis through its center; for the disk I = 4000 kg m^2. The disk is coasting at a rate of .150 rev/s when a 90 kg person drops onto the disk from an overhanging tree limb. The person lands and remains at a distance of 3 m from the axis of rotation. What will be the rate of rotation after the person has landed

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