Astronomers have observed a small, massive object at the center of our Milky Way

Question

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 11 light-years and an orbital speed of about 110 km/s .

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M of the massive object at the center of the Milky Way Galaxy. Give your answer in kilograms.
Express your answer using two significant figures.

M =
5.5
  kg  

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Part B
Give your answer in solar masses (one solar mass is the mass of the sun).
Express your answer using two significant figures.

M =
  mS  

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Part 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?

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
no

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Part 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 RS of this black hole be?
Express your answer using two significant figures.

RS =
  m  

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Part E
Would a black hole of this size fit inside the earth's orbit around the sun?

Would a black hole of this size fit inside the earth's orbit around the sun?

yes
no

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CorrectSolution of Black hole calculations.

Explanation / Answer

ring is orbiting the mass with the speed of 110000 m/s

so

centrifugal force must be equal to gravirational force

m * v^2 / radius = G * M * m / radius^2

v^2 / radius = G * M / radius^2

11 light years = 104100000000000000 m

110000^2 / 104100000000000000 = 6.67408 × 10-11 * M / 104100000000000000^2

M = 6.575067 * 10^34 kg

mass of object = 6.575067 * 10^34 kg

mass of sun = 1.989 × 10^30 kg

mass of object in solar mass = (6.575067 * 10^34) / (1.989 × 10^30)

mass of object in solar mass =33057.15 solar mass

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