question archive A star with an initial radius of 1

A star with an initial radius of 1

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A star with an initial radius of 1.00 10^8 m and period of 30.0 days collapses suddenly to a radius of 1.00 10^4 m.

(a) Find the period of rotation after collapse.

(b) Find the work done by gravity during the collapse if the mass of the star is 2.00 1030 kg.(The only force doing work on the system is gravitation, so the work done by gravitation is the change in kinetic energy of the star. )

(c) What is the speed of an indestructible person standing on the equator of the collapsed star? (Neglect any relativistic or thermal effects, and assume the star is spherical before and after it collapses).

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