Lá Relativity Cafe
Recently, across the street from your home, a café has opened, titled the Lá Relativity Cafe. You are able to get a free item if only you answer one question correctly: what would the maximum diameter of a star have to be to create a black hole if the stars mass is equal to 10 kilograms and density being . Round you answer to the nearest hundredth if necessary.
What we think a black hole may look like
The answer is 91016.55.
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1 solution
L a T e X Based on the aforementioned equation, we can substitute values ρ = 2 • 1 0 1 4 g / c m 3 and m = 10kg into ρ = 4 π r 3 3 m . After simplifying the equation to 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 g / c m 3 = 4 π r 3 3 0 k g , You can then solve it with these steps:
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Step 1: Multiply the left side of the equation by 4\pi r^3 to eliminate the variable from the denominator~
2 5 1 3 2 7 4 1 2 2 8 7 2 0 0 0 g = 3 0 k g
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Step 2: Unfinished, will finish later after x-mas.