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A black hole with a mass of 50 solar masses ?
A black hole with a mass of 50 solar masses has a Schwarszchild Radius of ______ km. Assume 3 significant digits and do not use scientific notion
*do not use scientific notation*
4 Answers
- Anonymous2 years agoFavorite Answer
148 km. No scientific notation, 3 significant digits
- SpacemanLv 71 year ago
The Schwarzschild radius is the radius of the event horizon surrounding a non-rotating
black hole. Any object with a physical radius smaller than its Schwarzschild radius will
be a black hole. This quantity was first derived by Karl Schwarzschild in 1916:
Rs = 2GM/c²
G = universal gravitational constrant = 6.67E-11 N⋅m²/kg²
1 solar mass = 1.99E+30 kg
M = 50 solar masses = 50 x 1.99E+30 kg = 9.95E+31 kg
c = speed of light = 300,000 km/s = 300,000,000 m/s
Rs = Schwarszchild radius = to be determined
Rs = 2(6.67E-11 N⋅m²/kg²)(9.95E+31 kg)/(300,000,000 m/s)²
Rs = 147,502 m = 148 km
Source(s): https://www.britannica.com/science/Schwarzschild-r... http://astronomy.swin.edu.au/cosmos/S/Schwarzschil... http://astronomy.swin.edu.au/cosmos/G/Gravitationa... http://astronomy.swin.edu.au/cosmos/S/Speed+Of+Lig... - Anonymous2 years ago
They don't know, but one estimate I heard of the actual volume of a black hole compared to normal mass was 0.0001% but I don't even know what you mean. I'm very basic in my understanding of how it works. The mass is the same, the volume is a lot less because the electron and nucleus have no space between them.