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Hello, I'm new here so please let me know if I do something wrong.

1. A skier of mass M starts from rest at the top of a solid sphere of radius R and slides down its frictionless surface. At what angle will the skier leave the sphere?

http://img413.imageshack.us/img413/4362/spherele9.jpg [Broken]

E = K + U = (.5)mv^2 + mgy

?

I started off saying that the E at the top of the sphere will equal the E at the point when the skier leaves the sphere, however, although I can set v = 0 for the initial position, on the other side of the equation, I have two unknowns - the v when the skier leaves the sphere and y. This also doesn't really give me an angle to solve for. I know that the point at which the skier leaves the sphere, her normal force will be 0, but I don't know if/how I can work that into this.

I think I'm on the wrong track :(

**1. Problem 1**1. A skier of mass M starts from rest at the top of a solid sphere of radius R and slides down its frictionless surface. At what angle will the skier leave the sphere?

http://img413.imageshack.us/img413/4362/spherele9.jpg [Broken]

## Homework Equations

E = K + U = (.5)mv^2 + mgy

?

## The Attempt at a Solution

I started off saying that the E at the top of the sphere will equal the E at the point when the skier leaves the sphere, however, although I can set v = 0 for the initial position, on the other side of the equation, I have two unknowns - the v when the skier leaves the sphere and y. This also doesn't really give me an angle to solve for. I know that the point at which the skier leaves the sphere, her normal force will be 0, but I don't know if/how I can work that into this.

I think I'm on the wrong track :(

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