1. The problem statement, all variables and given/known data A meteorite impacts a flat-tabular Earth (with a density of 6gm/cm^3). During transit, the meteorite is observed to have a density of 8 gm/cm^3 and to be a perfect sphere of radius 1km. The meteorite penetrates the flat Earth to an unknown depth to center mass, z_0; z_0 > 1km. The meteorite is undeformed during emplacement and the Earth that is displaced magically vanishes and the hole above the meteorite is filled again so that the surface is flat and the density uniform everywhere except for the meteorite. Use relevant equations relating Gauss' Law to this geometry to derive teh gravitational potential of the meteorite as a function of position along the Earth's (slab's) surface. Let x=0 be over the center of the mass of the meteorite. *Positive z is pointing towards the Earth's surface *z=0 at the surface of the slab *The thickness of the Earth is t 2. Relevant equations Δρ=ρ1-ρ => 8-6=2 g_z = 2.79E-10 (Δρ r_sphere h)/(3 (x^2+h^2)^(3/2) To find gravity in g_z direction V= ∫g_z d? to find potential of gravity. Question is I'm not sure of my bounds for the integral and what I should be integrating in respect to. Also, for calculating gravity, should I use x=0?