Given:
The mass of the sun is
[tex]M_{sun}=1.989\times10^{30}\text{ kg}[/tex]
The universal gravitational constant is
[tex]G\text{ = 6.67}\times10^{-11}\text{ Nm}^2\text{ /kg}^2[/tex]
The speed is
[tex]c=\text{ 3}\times10^8\text{ m/s}[/tex]
To find the required radius for the sun to become a black hole.
Explanation:
The radius can be calculated as
[tex]\begin{gathered} r=\frac{2GM}{c^2} \\ =\frac{2\times6.67\times10^{-11}\times1.989\times10^{30}}{(3\times10^8)^2} \\ =2948\text{ m} \end{gathered}[/tex]
The name of the radius is Schwarzschild radius.
