In Figure P10.53, the hanging object has a mass of m1 = kg; the sliding block has a mass of m2 = kg;

and the pulley is a hollow cylinder with a mass of kg, an inner radius of m, and an outer radius of m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is μk . The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of m/s toward the pulley when it passes a reference point on the table.
(a) Use energy methods to predict its speed after it has moved to a second point, m away.
(b) Find the angular speed of the pulley at the same moment.