Water's density is 1 g/cm3. When an object with a lower density than this enters water, it floats because its downward force is weaker than the upward force exerted by the water.
Sir Ector's squires realize he is dead after almost winning the entire jousting competition. William decides to impersonate Sir Ector even though he is a peasant and does not have noble status.
Church officials in Rome are impressed with Galileo's mathematical knowledge but hesitate when he brings up his interest in teaching Astronomy. They worry he will be accused of heresy by the Inquisition and decide that he is better off teaching in free-thinking Venice.