1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
2 years ago
6

Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masse

s. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km.
Mathematics
1 answer:
natali 33 [55]2 years ago
6 0

The Schwarzschild radius of the black hole depends on its mass

The Schwarzschild radius of this supermassive black holeis 0.091 AU

<h3 /><h3>How to determine the Schwarzschild radius?</h3>

The Schwarzschild radius (r) is calculated using:

r_s = \frac{2GM}{c^2}

Where:

G =  Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2

M = Mass of the object = 4.6 x 10^6 solar masses

c = Speed of light = 299792458 m / s

Express the mass in Kg

M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg

Substitute the above values in the equation

r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}

Evaluate the expression

r_s = 13589425339.6 m

Express as km

r_s = 13589425.3396 km

Expressas AU

r_s = \frac{13589425.3396}{1.5 * 10^8}

Evaluate the quotient

r_s = 0.09059616893

Approximate

r_s = 0.091\ AU

Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU

Read more about gravitational radius at:

brainly.com/question/4208016

You might be interested in
In order to either condense or expand logarithms using their properties, what must be?
jasenka [17]

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

5 0
2 years ago
Read 2 more answers
What is the solution to the equation?
ki77a [65]

Answer:

7

Step-by-step explanation:

3 {(x + 9)}^{ \frac{3}{4} }  = 24 \\  \\ {(x + 9)}^{ \frac{3}{4} }  =  \frac{24}{3}  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =  8  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =   {2}^{3}   \\  \\ (x + 9) =  {2}^{3 \times  \frac{4}{3} }  \\  \\ x + 9 =  {2}^{4}  \\  \\ x + 9 = 16 \\  \\ x = 16 - 9 \\  \\ x = 7

7 0
3 years ago
What is 9/16 rounded to the nearest whole number?
Levart [38]

Answer:

Step-by-step explanation:

9/16=.5625

Round that to the nearest whole number would be 1

6 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIEST
worty [1.4K]
The answer would be 7 inches i believe?..
6 0
3 years ago
Read 2 more answers
The equation of a line is X+3Y=14<br> what is the y-intercept of the line?
vodka [1.7K]
X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3
4 0
3 years ago
Read 2 more answers
Other questions:
  • jalil play hockey. When jalil takes a shot on goal, the probability that he scores is 3/4. I jalil takes 80 shots on goal in a s
    14·1 answer
  • Nanette earns $14 per hour. Last week, she worked 2 hours on Monday, 10 hours on Tuesday, and 9 hours on Wednesday. She had Thur
    14·2 answers
  • Quick Answers Please
    14·1 answer
  • 7x + 2y = -1<br> 3x – 4y = 19
    9·2 answers
  • Write the equation in slope-intercept form with the point (2,7.5) with an x intercept of −1.
    12·1 answer
  • I'd really appreciate it if you'd show your work for the question, it'd be lots of help! I'll give Brainliest! :)
    14·1 answer
  • Use Order of Operations to simplify. 42 + 5[61 – (5x6)]
    9·1 answer
  • A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of
    8·1 answer
  • A box contains eight cards numbered 2, 3, 4, 5, 6, 7, 8, 9. One card is selected at random and replaced. What is the probability
    15·1 answer
  • Find the surface area of the prism:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!