A black hole is discovered which has a mass of one solar mass and a radius of 3 km.
What would be the gravity at a radius of 3km?
A brave, but foolhardy, astronaut goes to investigate. When they are at the surface of the blackhole, what is the difference in gravity between their head and their feet?
Bonus (and gruesome) question.
Given that the tensile strength of bone is approximately 135 MPa and by making appropriate assumptions how close could an astronaut get before they would be spaghettified?
Data:
Solar mass = 2.0 x 1030 kg
Gravitational constant = 6.674 x 10-11 N m2 kg-2