| Consider an artificial planet that is a spherical shell constructed of a super rigid material that will not collapse under it's own weight. The thickness of the shell is b - a, where a is the inner radius and b is the outer radius. A second planet is to be built with twice the outer radius, 2b. Assuming no change in the density of the construction material, what should the new inner radius be if the larger planet is to have precisely the same value of g at the outer surface? You should be able justify your answer verbally using arguments based upon the volume of the spherical shells. | |
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