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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 

Update:

*do not use scientific notation*

4 Answers

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  • Anonymous
    2 years ago
    Favorite Answer

    148 km. No scientific notation, 3 significant digits

  • 1 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

  • ?
    Lv 7
    2 years ago

    About the size of Jupiter's Orbit

  • Anonymous
    2 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. 

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