A cylindrical barrel with a radius of 30 centimeter and a mass of 75 kilogram rolls across a warehouse floor without slipping. The speed of the barrel's center of mass is 8.0 m/s. Note. I(cylinder)=1/2MR^2.
a. Compute the total kinetic energy of the barrel?
b. At the same moment the speed of the barrel was noted to be 8.0 m/s it was also noted to be slowing down with an angular acceleration if -0.30 rad/s^2. Compute how far from that point will the barrel travel before it stops?