by rigelan » Wed Sep 26, 2007 10:48 pm
Assuming a perfectly spherical earth, The gravitational acceleration at the surface of the earth would be a=G M / R^2
G is a constant. And in this particular situation, we are keeping the (M)ass of the earth constant, and yet expanding the (R)adius of the earth. So M is a constant, but R is increasing.
Since R is on the bottom side of the equation, as R increases, (a)celleration would decrease.
So if the earth expanded without changing its mass, the acceleration due to gravity on the surface of the earth would be less.
Assuming a perfectly spherical earth, The gravitational acceleration at the surface of the earth would be a=G M / R^2
G is a constant. And in this particular situation, we are keeping the (M)ass of the earth constant, and yet expanding the (R)adius of the earth. So M is a constant, but R is increasing.
Since R is on the bottom side of the equation, as R increases, (a)celleration would decrease.
So if the earth expanded without changing its mass, the acceleration due to gravity on the surface of the earth would be less.