Question

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

Answer 1

2950 m

Step-by-step explanation:

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

`R=(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=(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`