aluminum iron Students in a physics class set up an experiment in which they plan to roll an aluminum and iron hoop down a ramp at the same time. The aluminum hoop has a larger radius than the iron hoop, although both have the same mass. There is sufficient friction on the ramp such that both hoops should roll without slipping. The students make the following claim about which hoop they expect to reach the bottom of the ramp first: Student 1: "I think the aluminum hoop will reach the bottom of the ramp first. Since the hoops don't slip, they must roll the whole way down. This means that we can divide the distance travelled by the hoops by their circumference to figure out how many rotations each hoop completes on the way down. Since the iron hoop has a smaller circumference, it will need to complete more rotations on the way down which will take more time." Student 2: "But the time it takes to get to the bottom of the ramp depends on translational speed not rotational speed. Since both hoops have the same mass and start at the same height, both must start with the same potential energy with respect to the bottom of the ramp. This means that both must end with the same kinetic energy and therefore the same translational speed at the bottom of the ramp. Since both hoops have the same speed on the way down, they should reach the base of the ramp at the same time." (a) Which aspects, if any, of Student 1's reasoning is correct? Explain your answer.(b) Which aspects, if any, of Student l's reasoning is incorrect? Explain your answer. (c) Which aspects, if any, of Student 2's reasoning is correct? Explain your answer. (d) Which aspects, if any, of Student 2's reasoning is incorrect? Explain your