1. Lubbock Lou and his Jughuggers are outside lawn bowling. Since they are a bit unclear of the concept, they wind up using a lot of different rolling shapes. Among them are a disk, a hoop, a solid sphere, and a hollow sphere all (amazingly) with the same mass and radius. All 4 are also rolling on a horizontal surface without Slipping. The centers of mass of all four, for some length of time, move at the same speed v. Which one has the greatest total kinetic energy (translational KE plus rotational KE) or are they all the same? Explain.
2. Dr. Julius Strangepork has created a maguffin that has accidentally increased global warming a LOT. All of the ice trapped at the north and south poles of the Earth immediately melts, redistributing the water evenly over the Earth's surface. What happens to the length of the Earth's day? Explain.