Abowling ball has a mass of 7.0 kg, a moment of inertia of 2.8 ´ 10-2 kg×m2 and a radius of 0.10 m. if it rolls down the lane without slipping at a linear speed of 4.0 m/s, what is its angular velocity?

An insulated thermos contains 148 g of water at 72.7 ˚c. you put in a 11.7 g ice cube at 0.00 ˚c to form a system of ice + original water. the specific heat of liquid water is 4190 j/kg•k; and the heat of fusion of water is 333 kj/kg. what is the net entropy change of the system from then until the system reaches the final (equilibrium) temperature?