A favorite sport/play activity of children and even young adults throughout history, dating back to the Greeks and Romans (and, yes, even today) is "hoop trundling" or hoop rolling: rolling a wooden (generally for girls) or metal (most often for boys) hoop using a stick or hook. The games vary, such as seeing who can trundle (roll) the longest or farthest or even guiding them through an obstacle course. Let’s get a hoop and trundle!We have a thin iron hoop having a total mass of 2.50 kg. It has a diameter of 1.00 m.(a) What is the rotational inertia, I of the hoop?(b) If the hoop is rolling along at 1.00 rev/s, what is the rotational velocity, ω, of the hoop?(c) What is the angular momentum, L?(d) What is the translational (linear) kinetic energy, KET, of the hoop? (e) What is the rotational kinetic energy, KER, of the hoop?(f) What is the total kinetic energy, KETOT, of the hoop?