# Don't Forget that Energy

A disk of mass $m$ and radius $r$ is pushed up on an inclined plane of angle $\theta$ with initial speed $v$. If $g=10[\frac{m}{s}]$ and the coefficient of friction is such that the disk can roll without slipping, the maximum height reached by the disk can be expressed as $\frac{a}{b}v^2$. Find $a+b$.

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