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The Black Hole in the Center of the Milky Way Recent
Chapter 29, Problem 71P(choose chapter or problem)
Problem 71P
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 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.
Questions & Answers
QUESTION:
Problem 71P
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 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.
ANSWER:
Step 1 of 4
a)
Here, we have to find the maximum radius for the black hole.
The maximum radius will be the schwarzschild radius.