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maw [93]
3 years ago
14

Find the radius to which the sun must be compressed for it to become a black hole.

Physics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

2950 m

Explanation:

The radius to which the sun must be compressed to become a black hole is equal to the Schwarzschild radius, defined as:

R=\frac{2GM}{c^2}

where

G is the gravitational constant

M is the of the sun

c is the speed of light

The mass of the sun is

M=1.99\cdot 10^{30}kg

So, if we substitute the values of the other constants inside the formula, we find the value of the Schwarzschild radius for the sun:

R=\frac{2(6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2})(1.99\cdot 10^{30} kg)}{(3\cdot 10^8 m/s)^2}=2950 m

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The moon has a diameter of 3.48 x 106 m and is a distance of 3.85 x 108 m from the earth. The sun has a diameter of 1.39 x 109 m
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