Astronomy C
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Astronomy C
Starting off from last marathon:
A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,
Disease Detectives, and Ping-Pong Parachute are where I’m at.
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,

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Re: Astronomy C
EKT26 wrote: ↑Tue Sep 08, 2020 10:33 am Starting off from last marathon:
A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)
a. 2.024E19 kg/m^3 b. more dense c. 2.045E-8 K d. 1.417E5 m e. uh 2 radians? not sure if this is right
South Woods MS, Syosset HS '21
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Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
BirdSO TD/ES
Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
1st place MIT Codebusters 2019-2020 1st place NYS Fermi Questions (2019), Astronomy and Codebusters (2021) Science Olympiad Founder's Scholarship winner
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Re: Astronomy C
Wait, how would you answer those questions? I'm only familiar with the formula for the scharzschild radius.
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Re: Astronomy C
a and b is just scharzschild a couple of times. this is useful for c. d is wiens law, and e I used the 2(Rs/R) formula given here but idk if that's rightastronomybuff wrote: ↑Tue Sep 08, 2020 11:14 am Wait, how would you answer those questions? I'm only familiar with the formula for the scharzschild radius.
South Woods MS, Syosset HS '21
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Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
BirdSO TD/ES
Past Events: Microbe, Invasive, Matsci, Fermi, Astro, Code, Fossils
1st place MIT Codebusters 2019-2020 1st place NYS Fermi Questions (2019), Astronomy and Codebusters (2021) Science Olympiad Founder's Scholarship winner
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Re: Astronomy C
Sorry, I'm a bit slow. We are looking for the volume, so how does the schwarzchild formula give us that?
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Re: Astronomy C
I believe you'd calculate the schwartzchild radius and then use that to calculate the volume of the sphere (not certain that's correct, that's how I'd do it)astronomybuff wrote: ↑Tue Sep 08, 2020 12:38 pm Sorry, I'm a bit slow. We are looking for the volume, so how does the schwarzchild formula give us that?
New Mexico Institute of Mining and Technology '26, Physics
Lemonism Forever
Lemonism Forever
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Re: Astronomy C
Yup! That's correct! Last one was just a gut check
I always just found it interesting with how much you can do with such little information with black holes.
Also for the density one, since the volume is based off the mass too, you can just derive a "density equation" if you want to skip finding the schwarzschild radius.
I always just found it interesting with how much you can do with such little information with black holes.
Also for the density one, since the volume is based off the mass too, you can just derive a "density equation" if you want to skip finding the schwarzschild radius.
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,
Disease Detectives, and Ping-Pong Parachute are where I’m at.
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,

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Re: Astronomy C
That's correct! Your turnName wrote: ↑Tue Sep 08, 2020 11:03 amEKT26 wrote: ↑Tue Sep 08, 2020 10:33 am Starting off from last marathon:
A. What's the density of a schwarzschild black hole with a mass of 6.0E31 kg? (in kg/m^3)
B. Would this black hole be more or less dense than a more massive one?
C. What's the black hole's temperature
D. What would the wavelength of the emitted blackbody radiation be from a black body with the temperature from C? (in m)
E. How much would a black hole of this size bend light passing just above the schwarzschild radius? (in radians)a. 2.024E19 kg/m^3 b. more dense c. 2.045E-8 K d. 1.417E5 m e. uh 2 radians? not sure if this is right
Kellenberg Memorial High School: 2020-2021
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,
Disease Detectives, and Ping-Pong Parachute are where I’m at.
Bro. Fox Latin School: 2017-2019
Astronomy, Machines, Chem Lab,

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Re: Astronomy C
Aight, I think it's probably time for a revive.
. We're already at a good start, with triple the posts. Can we streamline our lead?
- When Isaac Newton first began estimating distances to stars, he assumed that their brightness was only directly proportional to their distance. He calculated the distance to the star Sirius of about double the actual distance. What two incorrect assumptions did he make that lead to the incorrect quantity?
- In order to correctly find the distance to Sirius, how would he go about calculating the distance?
Let's try to exceed the length the Anatomy & Physiology question marathon, add some competition to thisMr.Epithelium wrote: ↑Thu Sep 10, 2020 3:07 pm Some exciting new topics for 2021! Can we make this the longest chain again?![]()

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New Mexico Institute of Mining and Technology '26, Physics
Lemonism Forever
Lemonism Forever