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 r is 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
Correct Answer:
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