The radius Rh and mass Mh of a black hole are related by
Chapter , Problem 22(choose chapter or problem)
The radius Rh and mass Mh of a black hole are related by Rh ! 2GMh/c2 , where c is the speed of light. Assume that the gravitational acceleration ag of an object at a distance ro ! 1.001Rh from the center of a black hole is given by Eq. 13-11 (it is, for large black holes). (a) In terms of Mh, find ag atro. (b) Does ag atro increase or decrease as Mh increases? (c) What is ag at ro for a very large black hole whose mass is 1.55 $ 1012 times the solar mass of 1.99 $ 1030 kg? (d) If an astronaut of height 1.70 m is at ro with her feet down, what is the difference in gravitational acceleration between her head and feet? (e) Is the tendency to stretch the astronaut severe?
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