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## Homework Statement

A solid disk of mass m and radius R rolls without slipping with a velocity v. Assuming it doesn't slip, how far vertically will it roll up an incline?

## Homework Equations

I=0.5mr

^{2}

E=0.5Iω

^{2}

KE=0.5mv

^{2}

PE=mgh

## The Attempt at a Solution

I'm thinking that we need to find the height h when the kinetic energy is converted to potential energy. So:

0.5Iω

^{2}+mv

^{2}=mgh

0.5*0.5mr

^{2}ω

^{2}+mv

^{2}=mgh

0.25r

^{2}ω

^{2}+v

^{2}=gh

h=(0.25r

^{2}ω

^{2}+v

^{2})/g

Is that right? I feel weird because I still have ω in there.