2. The attached ASCII file prob2.dat includes the geocentric cartesian coordinates of a point on the surface of a sphere corresponding to your Student-ID. With a homogeneous density assumption for the sphere find (GM = 3.986 x 1014ms-2) a. (15 pts) the radius of the sphere together with the spherical latitude and longitude (all with m precision), b. (10 pts) the vectorial components of the gravity potential and the gravity in the cartesian coordinate frame, 3. (10 pts) A gravimeter is installed at a basement of a building. A common type of refrigerator has been placed on a platform 2m above the gravimeter. How much does this change the gravity potential and its derivative at gravimeter location? - X(m), Y(m), Z(m) -5863887, 375142, -2470217