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:
[tex]r=\frac{2GM}{c^2}[/tex]
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
[tex]M=1.99\cdot 10^{30}kg[/tex]
Therefore, its Schwarzschild radius is
[tex]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[/tex]
