A mass of 6 × 10 24 Kg (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is 3 × 10 8 ms -1 . What should be the radius of the sphere?

Question

Philoid · Accepted Answer

To find the escape velocity, the gravitational pull by a body or its potential energy at the surface should be equal to its kinetic energy.

A mass of 6 × 1024 Kg (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is 3 × 108 ms-1. What should be the radius of the sphere?

A mass of 6 × 10²⁴ Kg (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is 3 × 10⁸ ms^-1. What should be the radius of the sphere?