Astronomers have observed a small, massive object at the center of
our Milky Way Galaxy. A ring of material orbits this massive
object; the ring has a diameter of about 12 light-years and an
orbital speed of about 160 km/s.
A.) Determine the mass M 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).
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? Yes or no?
D.) Many astronomers believe that the massive object at the
center of the Milky Way Galaxy is a black hole. If so, what must be
the Schwarzschild radius of this black hole be? (Express your
answer in meters)
E.) Would a black hole of this size fit inside the earth's
orbit around the sun? Yes or no?