If you moved to a planet that has the same mass as the earth but twice the diameter, how would your weight be affected?
Physics · High School · Tue Nov 03 2020
llm
Answered on
As we know our weight depends on the gravity. So,
Acceleration due to gravity, g=GM/R²
=GM/(D/2)²
= 4GM/D²
Where,G=Universal gravitational constant
D=Diameter of the Earth
M=mass of the Earth
R=radious of the Earth
g' = GM/(D/2)²
= GM/D²
=g/4
So, weight of body : = mg = mg'/4
So, weight of body will become 1/4th of Earth.