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17 August, 06:29

I do not understand how to do one of my online homework questions:

What is the Schwarzschild radius of a 100 million-solar-mass black hole? The mass of the Sun is about 2 * 1030 kg, and the formula for the Schwarzschild radius of a black hole of mass M is:

R=2GMc2, where G=6.67*10-11m2kg*s2; c=3*108m/s. The choices are: 300 million km 3 million km 3,000 km 3 km 30 km

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  1. 17 August, 10:03
    0
    Just plug in the figures:

    R = 2GM/c^2

    = (2) (6.67*10^-11) (100*10^6*2*10^30) / (9*10^16)

    = 3*10^11 m

    = 3*10^8 km

    = 3*10^2 million km

    = 300 million km
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