A sphere of mass m and radius r is released from rest at point A on a track in vertical plane. The track is rough enough to support rolling between A and B and from B onwards it is smooth.
My thinking: From A to B it will roll and friction will do no work so mechanical energy at A = mechanical energy at B. After B since no friction is present and it going on an incline it cannot roll. Hence the height reached after B is proportional to it's translational kinetic energy only.
My question: If it cannot roll after B what will happen to it's rotational kinetic energy?
Note: The above question is not a homework question, it is a doubt that I have while solving the homework question.