Question

Update: 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 1.50×104kg/m3 at the center and 2000kg/m3 at the surface.

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

I tried finding this using an integral, but I get a wrong answer (8).

Answer 1

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