Billiard ball rotating and slipping. help 1. The problem statement, all variables and given/known data A ball radius "a" and mass "m" initially spinning counterclockwise with angular speed w=-v0/a with a forward speed vo. The coefficient kinetic friction between the ball and the billiard table is Mu, [Given a,m,vo,mu] Determine the work lost to friction while slipping using two methods (they should be equal) W=-Ffs where s the distance ball slips not travels W= delta Kt + delta Kr 2. Relevant equations F=ma Torque= I*alpha W=v/r V=vo+at W=Wo+alpha*t 3. The attempt at a solution I found a from equation F= ma where F=-Ff Then plug in a to eq V=Vo+at I also found alpha from eq Torque= I alpha then plug in alpha to eq W=Wo+ alpha t set V=RW i got T where the slipping becomes rolling without slipping. The questions are 1. Can i use this t and plug it in to eq X=Xo+Vot+0.5at^2 to find The distance the ball SLIPS?? 2. If i cant use that equation, then How can i find the distance the ball slips? 3. In finding W= delta Kt + delta Kr, Do I have to use final angular and forward speed that i found from previous calculation or Do i have to find them? Thank you for your help.