1. The problem statement, all variables and given/known data A skier starts skiing from the very top of a frictionless sphere of ice with very little initial speed. At what angle from the the vertical will the skier leave the sphere of ice? 2. Relevant equations This question was in the Kinetic and Potential Energy chapter, so I guess we are suppose to use the kinetic and potential energy equations K = (1/2)*m*v^2, U = m*g*y and E = K + U. 3. The attempt at a solution I can't even attempt this because I don't know how to relate the two energies in a way that would give me the answer. This question is so much more different than any other question in the chapter.