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The Black Hole in the Center of the Milky Way 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 {\rm{A}}^ *, is 2.6 million times more massive than the Sun; that is, M = 5.2 \times 10^{36}\;{\rm{kg}} .

1. What is the maximum radius of this black hole?

2. Discover the acceleration of gravity at the Schwarzschild radius of this black hole, using the expression for R given in the equation R=. Express answer in m/s^2

3. How does your answer to part B change if the mass of the black hole is doubled? Describe.

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