Practicing Success
The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is : |
2v 3v 4v v |
4v |
Escape velocity : ve = \(\sqrt{\frac{2 G M}{R}}\) M = \(\frac{4 \pi}{3} \rho\) R3 ve = \(\sqrt{\frac{8 \pi G \rho}{3}}\) R ∴ ve ∝ R v/v' = R/4R |