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## Homework Statement

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?

## Homework 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.

## 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.