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# The Black Hole in the Center of the Milky Way Recent ISBN: 9780321541635 54

## Solution for problem 71P Chapter 29

Physics with MasteringPhysics | 4th Edition

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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.

Step-by-Step Solution:

Solution 71 P:

Step 1 of 3:-

a)

Here, we have to find the maximum radius for the black hole. Here, .  .

So,  .

So, the maximum radius for the black hole is .

Step 2 of 3:-

b)

Here, we have to find the acceleration due to gravity at the at the schwarzschild radius.    So, the acceleration at the schwarzschild radius is .

Step 3 of 3

##### ISBN: 9780321541635

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The Black Hole in the Center of the Milky Way Recent

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