Question

The mass of a planet is 6 times the mass of earth and its radius is three times that of the earth considering acceleration due to gravity on earth to be 9.8 metre per second square calculate the value of small g on the earth other planet

Answer 1

Explanation:

let M be mass of earth and R be radius of earth if 6M and 3R be the mass and radius of other planet then

acceleration due to gravity is given by:

g=GM/R² (earth's acceleration due to gravity)

g'=G6M/3R²

g'=2GM/R² (planet acceleration due to gravity)

by dividing the avoub equations we get

g'/g=(2GM/R²)/(GM/R²)

(G,M,R²cancel out each other)

g'=2*g

g'=2*9.8

g'=19.6m/s