Recent measurements show that the black hole at the center of the Milky Way galaxy, which is believed to coincide with the powerful radio source Sagittarius A*, is 2.6 million times more massive than the Sun; that is, M = 5.2 × 1036 kg.
(a) What is the maximum radius of this black hole?
(b) Find the acceleration of gravity at the Schwarzschild radius of this black hole, using the expression for R given in Equation 29-10.
(c) How does your answer to part (b) change if the mass of the black hole is doubled? Explain.