Question

The mass density of a certain planet has spherical symmetry but varies in such a way that the mass inside every spherical surface with center at the center of the planet is proportional to the radius of the surface. If ris the distance from the center of the planet to a point mass inside the planet, the gravitational force on the mass is:
A) not dependent on r
B) proportional to r2
C) proportional to r
D) proportional to 1/r
E) proportional to 1/r2

Answer

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