it-is-known-that-the-minimum-velocity-required-by-a-spaceship-to-leave-planet-x-

Question

It is known that, the minimum velocity required by a spaceship to leave planet X is four times that needed to leave planet Y. Given that both planets X and Y have the same mass, calculate the ratio of the radius of planet X to that of planet Y (r_{x} / r_{y}).

Accepted Answer

﻿rxry=116\frac{r_{x}}{r_{y}}=\frac{1}{16}ry​rx​​=161​﻿

Answer

﻿rxry=12\frac{r_{x}}{r_{y}}=\frac12ry​rx​​=21​﻿

Answer

﻿rxry=14\frac{r_{x}}{r_{y}}=\frac14ry​rx​​=41​﻿

Answer

﻿rxry=18\frac{r_{x}}{r_{y}}=\frac18ry​rx​​=81​﻿

It is known that, the minimum velocity required by a spaceship to leave planet X is four times that needed to leave planet Y. Given that both planets X and Y have the same mass, calculate the ratio of the radius of planet X to that of planet Y (rx / ry).

It is known that, the minimum velocity required by a spaceship to leave planet X is four times that needed to leave planet Y. Given that both planets X and Y have the same mass, calculate the ratio of the radius of planet X to that of planet Y (r_x / r_y).