A ball rolls in a bowl find the disantce it goes up to.

[weird alf]

Homework Statement

A picture shows a sphere of radius R, mass m, sliding from rest down a bowl. At the bottom of the bowl the mass begins rolling with μ(s). Find an expression for how high it rolls up the other side of the bowl(y).

Homework Equations

PE=KE
f(s)=F(normal)(μs)
PE=mgh
KE=1/2mv^2

The Attempt at a Solution

I attempted but it won't look pretty online

 

[Steely Dan]

Well, if you don't want to learn how to display it in tex code (which is perfectly understandable), at least tell us your thought process so we can figure out what you're having trouble with.