Asmall nonrotating planetoid is mainly spherical, with total mass m and radius r, but at the north pole of the planetoid is a slender mountain that towers a further distance r above the surface, and at the south pole is an even taller mountain that towers 2r above the surface. on the top of the north polar mountain is a boulder of mass m. r bb r 2 r n s
how much work would it take to transfer the boulder (by any path whatsoever through empty space) from the north polar mountain to the top of the south polar mountain? assume that the masses of the mountains are negligible relative to the mass of the planetoid.