Question

Find the ratio of acceleration due to gravity of two planets if their radii are in ratio of 1:3

Answer 1

Ratio of g = 9:1

Step-by-step explanation:

Given,

The ratio of the radius of planets = 1:3

let the mass of the planets be M

We can say that,

The radius of planet 1 = 1x

The radius of planet 2 = 3x

We know that g = GM/
`R^(2)`

g on first planet = GM /
`x^(2)` , g on second planet = GM/ 9
`x^(2)`

g on first planet: g on second planet = GM/
`x^(2)` * 9
`x^(2)` / GM

= 9:1