Calculate the Schwarzschild radius (in kilometers) for each of the following.
1.) A 1 ×108MSun black hole in the center of a quasar. Express your answer using two significant figures.
2.) A 6 MSun black hole that formed in the supernova of a massive star. Express your answer using two significant figures.
3.) A mini-black hole with the mass of the Moon. Express your answer using two significant figures.
4.) Estimate the Schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (Assume that your weight is 50 kg.) Express your answer using one significant figure.
Answer:
(I). The Schwarzschild radius is 2.94 x 10 8 km
(II). The Schwarzschild radius is 17.7 km
(III). The Schwarzschild radius is 1.1 x 10-7 km
(IV). The Schwarzschild radius is 7.4 x 10 – 29 km