1. The problem statement, all variables and given/known data 1) A 320 kg motorcycle includes two wheels, each of which is 52 cm in diameter and has rotational inertia 2.1 kg·m2. The cycle and its 73 kg rider are coasting at 82 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach? 3. The attempt at a solution for 1) I did the total kinetic energy(translational and rotational) to equal mgh, and that didnt work am i missing something? so i had .5(393)(82*(1000/3600))^2 + .5(2.1)(82*(1000/3600)/.26)^2 = mgh Any help would be greatly appreciated, i would like to learn how to do this..