Question

In 2005 astronomers announced the discovery of a large black hole in the galaxy Markarian 766 having clumps of matter orbiting around once every 27 hours and moving at 30,000 km/s. ✓ Correct Part IV AEQ * R o o ?

Answer 1

B) given
v = 30000 km/s = 3*10^7 m/s
T = 27 hours
= 27*24*60*60 s

orbital radius of the clumps of water,

r = v*T/(2*pi)

= 3*10^7*27*24*60*60/(2*pi)

= 1.1138*10^13 m

now use, orbital speed v = sqrt(G*M/r)

v^2 = G*M/r

==> M = v^2*r/G

= (3*10^7)^2*1.1138*10^13/(6.67*10^-11)

= 1.50*10^38 Kg <<<<<<<-----Answer

C) M/M_sun = 1.50*10^38/(1.99*10^30)

= 7.54*10^7 <<<<<<<-----Answer