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Planets are not uniform inside. Normally, they are densest at the center and have decreasing density outward toward the surface. Model a spherically symmetric planet, with the same radius as the earth, as having a density that decreases linearly with distance from the center. Let the density be 1.80×104 kg/m^3 at the center and 2300 kg/m^3 at the surface.

What is the acceleration due to gravity at the surface of this planet?

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