Question

A body weighs 400 N on the surface of earth How much will it weigh on the surface of a planet whose massis 1th / 6 and radius 1/2 that of the earth?

Answer 1

Explanation:

body weight (mg) =500N

if mass and radius of earth and other planet is (M,R) and (M/6,R/2) respectively then

acceleration due to gravity is:

g=GM/R² (on earth surface)

g'=2GM/6R²

g'=GM/3R² (on other planet )

divide avoub equations

g'/g={GM/3R²}/{GM/R²}

g'={1/3}*g

g'=9.8/3

g'=3.27m/s²