A planet of radius R R\,R has an acceleration due to gravity at its surface of ggg. A spacecraft of mass m m\,m is in a stable circular orbit around the planet at an altitude where the local gravitational field strength is g9\displaystyle \frac{g}{9}9g.
What is the orbital speed of the spacecraft?
13gR\frac{1}{3}\sqrt{gR}31gR
12gR\frac{1}{2}\sqrt{gR}21gR
gR3\sqrt{\frac{gR}{3}}3gR
2gR3\sqrt{\frac{2gR}{3}}32gR