Consider the following quote from galileo's dialogues concerning two new sciences: aristotle says that "an iron ball of 100 pounds falling from a height of one hundred cubits reaches the ground before a one-pound ball has fallen a single cubit." i say that they arrive at the same time. you find, on making the experiment, that the larger outstrips the smaller by two finger-breadths, that is, when the larger has reached the ground, the other is short of it by two finger-breadths. we know that the statement attributed to aristotle is totally wrong, but just how close is galileo's claim that the difference is just "two finger breadths"? (a) given that the density of iron is about 8 g/cm 3 , find the terminal speeds of the two iron balls. (b) given that a cubit is about 2 feet, use equation (2.58) to find the time for the heavier ball to land and then the position of the lighter ball at that time. how far apart are they?