# Zero g planet

**Classical Mechanics**Level 2

If there were a planet with the mass \((6\times 10^{24}\text{kg})\) and angular velocity \((7\times10^{-5}\frac{\text{rad}}{\text{s}})\) of Earth, what would the necessary radius need to be in order for the free-fall acceleration on its surface to be \( 0 \frac{\text{m}}{\text{s}^2}\)?