A rocket with a mass of 2.5 × 105 kg is approaching straight into a relatively small black hole with the mass of the sun, MB = 1.99 × 1030kg. The pilot spots the black hole 1.496×1012m away and asks his physicist on board to do the following calculations:
a) What is the gravitational potential of at the location of the rocket?
b) What speed must the rocket reach to simply orbit the black hole and not fall in?
c) Determine the minimum distance from the black hole in which light cannot even escape,
the Schwarzchild radius. Consider the speed of light to be 3.00×108m/s