Answer:
4.26*10^37kg
2.14*10^7 solar mass
Step-by-step explanation:
To solve this question, let us assume that the ring shaped accretion disk around the galaxy center's black hole is circular. This would permit us to use the circular orbit equation.
To find the mass of the disk, we use the formula
V = √(Gm/r)
2*10^5 = √[6.67*10^-11 * m / (7.5 * 9.461*10^15)]
(2*10^5)² = 6.67*10^-11 * m / 7.096*10^16
4*10^10 * 7.096*10^16 = 6.67*10^-11 * m
m = 2.838*10^27/6.67*10^-11
m = 4.26*10^37kg
To get the mass in solar mass, we divide by mass of the sun(as instructed)
m = 4.26*10^37/1.99*10^30
m = 2.14 * 10^7 solar mass