I do not understand how to do one of my online homework questions:

What is the Schwarzschild radius of a 100 million-solar-mass black hole? The mass of the Sun is about 2 * 1030 kg, and the formula for the Schwarzschild radius of a black hole of mass M is:

R=2GMc2, where G=6.6710-11m2kgs2; c=3*108m/s. The choices are: 300 million km 3 million km 3,000 km 3 km 30 km

Question

Mathematics

Akira Townsend

26 February, 01:40

I do not understand how to do one of my online homework questions:

What is the Schwarzschild radius of a 100 million-solar-mass black hole? The mass of the Sun is about 2 * 1030 kg, and the formula for the Schwarzschild radius of a black hole of mass M is:

R=2GMc2, where G=6.6710-11m2kgs2; c=3*108m/s. The choices are: 300 million km 3 million km 3,000 km 3 km 30 km

+3

Answers (1)

Know the Answer?

Reynolds · Answer 1

Just plug in the figures:

R = 2GM/c^2

= (2) (6.67*10^-11) (100*10^6*2*10^30) / (9*10^16)

= 3*10^11 m

= 3*10^8 km

= 3*10^2 million km

= 300 million km