A wheel with a weight of 388 N comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at an angular velocity of 23.6 rad/s . The radius of the wheel is 0.591 m and its moment of inertia about its rotation axis is 0.800 MR2. Friction does work on the wheel as it rolls up the hill to a stop, at a height of h above the bottom of the hill; this work has a magnitude of 3482 J .

Calculate h. Use 9.81m/s2 for the acceleration due to gravity.