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:
[tex]R=\frac{2GM}{c^2}[/tex]
where
G is the gravitational constant
M is the of the sun
c is the speed of light
The mass of the sun is
[tex]M=1.99\cdot 10^{30}kg[/tex]
So, if we substitute the values of the other constants inside the formula, we find the value of the Schwarzschild radius for the sun:
[tex]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[/tex]
