The Mass Density of a Certain Planet Has Spherical Symmetry

question 27

Multiple Choice

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

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Definitions:

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