A spherical planet of uniform density ρ \rho\,ρ rotates about its axis. Loose material at the equator is on the verge of losing contact with the surface. What is the period of rotation of the planet?
3πGρ\sqrt{\frac{3\pi}{G\rho}}Gρ3π
34πGρ\sqrt{\frac{3}{4\pi G\rho}}4πGρ3
2π3Gρ2\pi\sqrt{\frac{3}{G\rho}}2πGρ3
Gρ3π\sqrt{\frac{G\rho}{3\pi}}3πGρ
52 exam-style questions on AQA A Level Physics Gravitational fields (A-level only), covering Newton's law (A-level only), Gravitational field strength (A-level only), Gravitational potential (A-level only), and Orbits of planets and satellites (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.