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

Physics

1 answer:

ankoles [38]2 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 its Schwarzschild radius, which is given by the formula:

$r=\frac{2GM}{c^2}$

where

G is the gravitational constant

M is the mass of the star

c is the speed of light

For the Sun, its mass is

$M=1.99\cdot 10^{30}kg$

Therefore, its Schwarzschild radius is

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

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