GM What is the orbital period of a bit of matter in an accretion disk that is located 3 x 105 km from a 29 M. black hole? (Hint: Use the circular orbit velocity formula, V. = V
GM What is the orbital period of a bit of matter in an accretion disk that is located 3 x 105 km from a 29 M. black hole? (Hint: Use the circular orbit velocity formula, V. = V
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![**Question:**
What is the orbital period of a bit of matter in an accretion disk that is located \(3 \times 10^5\) km from a \(29 \, M_{\odot}\) black hole? *(Hint: Use the circular orbit velocity formula, \( V_c = \sqrt{\frac{GM}{r}} \).*
**Answer:**
[ ] s
In this problem, you are tasked with finding the orbital period of matter in an accretion disk around a black hole. The mass of the black hole is \(29 \, M_{\odot}\), where \(M_{\odot}\) represents the solar mass, and the distance from the black hole is \(3 \times 10^5\) km. The hint provided suggests using the formula for circular orbit velocity:
\[ V_c = \sqrt{\frac{GM}{r}} \]
In this formula:
- \(G\) is the gravitational constant.
- \(M\) is the mass of the black hole.
- \(r\) is the distance from the black hole.
You will need to integrate this formula into the calculation for the orbital period to find the answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10987a05-6004-4fb1-8846-eb9d55f60d7e%2F54f6ad90-100e-4ad6-aad0-ad317da6bbb1%2Fnnyyjdp_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the orbital period of a bit of matter in an accretion disk that is located \(3 \times 10^5\) km from a \(29 \, M_{\odot}\) black hole? *(Hint: Use the circular orbit velocity formula, \( V_c = \sqrt{\frac{GM}{r}} \).*
**Answer:**
[ ] s
In this problem, you are tasked with finding the orbital period of matter in an accretion disk around a black hole. The mass of the black hole is \(29 \, M_{\odot}\), where \(M_{\odot}\) represents the solar mass, and the distance from the black hole is \(3 \times 10^5\) km. The hint provided suggests using the formula for circular orbit velocity:
\[ V_c = \sqrt{\frac{GM}{r}} \]
In this formula:
- \(G\) is the gravitational constant.
- \(M\) is the mass of the black hole.
- \(r\) is the distance from the black hole.
You will need to integrate this formula into the calculation for the orbital period to find the answer.
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