Half way to the center of a completely hollow planet with a thin uniform shell, your weight there compared to your weight on the outer surface would be
A) three-quarters.
B) the same as at the surface.
C) one-quarter.
D) one-half.
E) zero.

Question

Quizplus · Accepted Answer

Inside a hollow, uniformly dense sphere, the gravitational force at any point within the shell is zero due to the shell theorem. This theorem states that the net gravitational force experienced by an object located inside a spherical shell of uniform density is zero, because the forces exerted by individual mass elements of the shell cancel out. Therefore, halfway to the center, still within the hollow part, your weight would be zero.

Half Way to the Center of a Completely Hollow Planet