At the Galaxy's Core. Astronomers have observed a small, massive object at the center of the Milky Way galaxy. A ring of material orbits this massive object; the ring has a diameter of about 17.0 light years and an orbital speed of about 130 km/s. (See attached file for full problem description)
A) Determine the mass of the massive object at the center of the Milky Way galaxy. Give your answer in kilograms.
B) Give your answer in solar masses (one solar mass is the mass of the sun).
Take the mass of the Sun to be 1.99 x 10^30 kg
C) Observations of stars, as well as theories of the structure of stars, suggest that it is impossible for a single star to have a mass of more than about 50 solar masses. Can this massive object be a single, ordinary star?
D) Many astronomers believe that the massive object at the center of the Milky Way galaxy is a black hole. If so, what must the Schwarzschild radius of this black hole be?
Take the speed of light to be 3.00 x 10^8 m/s
E) Would a black hole of this size fit inside the earth's orbit around the sun?
This in-depth solution contains step-by-step calculation and brief explanations to determine the mass of the object and what it is. All formulas and workings are shown.