Don't Forget that Energy

A disk of mass \(m\) and radious \(r\) is pushed up on a inclined plane which is rubbing for let the disk rotate, but not for letting it slide, with inclination angle \(\theta\), with a initial speed of \(v\). If \(g=10[\frac{m}{s}]\) and the maximum height \(h\) can be expressed as \(\frac{a}{b}v^2\). Find \(a+b\)

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