If Earth were to be condensed down in size until it became a black hole,its Schwarzschild radius would be:

Question

Quizplus · Accepted Answer

The Schwarzschild radius (R_s) of an object is given by the formula R_s = 2GM/c^2, where G is the gravitational constant, M is the mass of the object, and c is the speed of light.

For Earth, with a mass of 5.97 x 10^24 kg, the Schwarzschild radius can be calculated as:

R_s = 2GM/c^2 = 2(6.67 x 10^-11 m^3/kg s^2)(5.97 x 10^24 kg)/(3 x 10^8 m/s)^2 = 8.87 mm

So, if Earth were condensed down in size until it became a black hole, its Schwarzschild radius would be approximately 8.87 mm, which is closest to 1 cm (choice A).

If Earth Were to Be Condensed Down in Size Until