A mass of `6xx10^24` 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 `3xx10^8ms^-1`. What should be the radius of the sphere?

Explanation

To find the radius of a sphere with a mass of \(6 \times 10^{24}\) kg, such that the escape velocity from its surface is \(3 \times 10^8\) m/s, we can use the formula for escape velocity:

\[ V_e = \sqrt{\frac{2GM}{R}} \]

where:
- \(V_e\) is the escape velocity,
...