1. The problem statement, all variables and given/known data A 392-N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill, it is rotating at 25.0rad/s. The radius of the wheel is .6m and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this work has absolute value 3500J. Calculate h 2. Relevant equations Work Energy Theorem 3. The attempt at a solution I tried to use the work-energy theorem but I feel like I am missing the velocity of the center of mass of the wheel. I set up my equation as: U1+K1+Wother=U2+K2 where "Wother is the work done by friction, in this case 3500J in the direction opposite of motion. Also, U1 cancels and I believe K2 should cancel out. Therefore, my equation is: 3500J+.5mv2+.5Iω2=mgh It seems like I have 2 unknowns, h and v. Am I missing something?