Okay here we go (some questions about black holes):
1) If the sun was replaced by a black hole of mass
![](http://latex.codecogs.com/png.latex?10M_{\odot})
, what would change?
2) Quick, what's the Schwarzschild radius of the above black hole in kilometers?
3) It turns out that the Schwarzchild radius can be applied to solve for other important values as well. If the sun had the same mass as the black hole above, what would the time dilation be at 100km away from the center of this new sun? Show work.
4) Bob is 75kg and is sent into space to explore this black hole. What is the tidal force he experiences if he is 2 meters tall and 1km away from the black hole? Show work.
5) What is the approximate lifetime of this black hole in years? Show work.