Calculate the radius

Question

A black hole is an extremely dense material that can be created when an object with a large mass is condensed into a sphere with a Schwarzschild radius determined by the
equation below. Calculate the Schwarzschild radius for the black hole in Sagittarius A, which has a mass that is 4 million times the mass of the Sun.
𝑟schwarzschild= 2Gm/c2

Answer 1

You already have the equation for the Schwarzschild radius.

 

r_S = 2Gm/c²

 

Look up the mass of the sun (in kg) in your physics or astronomy book and multiply it by 4 x 10⁶.  That will be m.

 

G = 6.67 x 10^-11 Nm²/kg²

 

c = 3 x 10⁸ m/s

 

Plug the numbers into the formula.