Physics question about black holes and determing their mass?

In summary, the conversation discusses the calculation of black hole mass using the Schwarzschild radius formula and the relation to the mass of the sun. The equation is used to determine a different answer and there is confusion about the ratio between the black hole mass and the sun's mass. It is clarified that in astronomy, "one solar mass" is a unit of mass equal to 1.988435×10^30 kilograms, and the star Arcturus has a mass of 2.3*10^30 kg, which is equivalent to 1.1 solar masses.
  • #1
Hannahj1
18
2

Homework Statement


a black hole has schwarzschild radius of 15.4km what is the mass of the black hole in terms of the suns mass?

Homework Equations


Rsch = 2GM/c^2

The Attempt at a Solution


I plugged values into the equation and isolated for M and it gave me a different answer. Idk how the suns mass relates to the equation/answer
 
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  • #2
I think they want the ratio so you know the BH mass and you can find the suns mass and then compute the ratio.

Is it 2 solar masses or 3 or even 1/2... ?
 
  • #3
In astronomy, "one solar mass" is a unit of mass = 1.988435×1030 kilograms. The sun's mass is "one solar mass". For example, the star Arcturus has a mass of 2.3*1030 kg - 1.1 solar masses

Does that help?
 

Related to Physics question about black holes and determing their mass?

1. How do you determine the mass of a black hole?

In order to determine the mass of a black hole, scientists use a variety of techniques such as observing the effects of the black hole's gravity on surrounding objects, studying the motion of matter falling into the black hole, and analyzing the distortion of light caused by the black hole's intense gravitational pull.

2. What is the relationship between a black hole's mass and its size?

The mass of a black hole directly correlates with its size, meaning the more massive a black hole is, the larger its event horizon (the point of no return) will be. However, the size of a black hole can also be affected by its spin and the amount of matter it has consumed.

3. Can the mass of a black hole change?

Yes, the mass of a black hole can change over time. As matter falls into a black hole, its mass will increase. Additionally, black holes can merge with other black holes, resulting in a larger mass. However, the mass of a black hole can also decrease if it emits radiation through processes such as Hawking radiation.

4. How does the escape velocity of a black hole relate to its mass?

The escape velocity of a black hole is directly proportional to its mass. This means that the more massive a black hole is, the stronger its gravitational pull will be, and the higher the escape velocity required to leave its event horizon.

5. What is the maximum mass a black hole can have?

The maximum mass a black hole can have is unknown, but it is theorized to be around 100 billion times the mass of the sun. Beyond this point, the black hole's intense gravity would prevent it from absorbing more mass. However, scientists are still researching and studying the properties of black holes, so this number may change in the future.

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