A solid sphere of mass M $=1\mathrm{.}50$ kg and radius R $=0\mathrm{.}374$ m rolls without slipping over a horizontal plane with speed v $=4\mathrm{.}62$ m$/$s$,$ where its movement continues over an inclined plane with an angle $=22\mathrm{.}0$ degrees. What is the maximum height, h$,$ that the sphere reaches measured from the bottom of the inclined plane? The moment of inertia of the sphere is I$=2/5$ MR$2.$ Answer: $1\mathrm{.}52$