1.) Bugs Bunny (50 kg) starts at rest atop a 14 m tall hill, and then slides down. (Note: assume the entire motion is without friction unless specifically noted otherwise.) 1.) slides into a swing set at the bottom of the hill, which has a 5 m long chain. He swings up and over the bar, with the chain managing to stay taut. II.) continues on flat ground, where he then hits a friction patch which is 10 m long, from which he exits at 14 m/s. III.) slides off a cliff that is II m tall, into a lake. 14. m 11011 14m/s 11m Part I: (around the swing set) a.) Sketch in the correct directions of all forces that act on Bugs at each of the points A-C. b.) Find the size of the tension in the chain at each point. Part III: (off the cliff) d.) Find Bugs Bunny's final speed just before landing in the water. e.) Find the time he is airborne. Part II: (through the friction patch) c.) Find the coefficient of kinetic friction (u) of the friction patch. Use the force method. Then try out the energy method (including friction) to get it. (Make sure they give the same answer!) f.) Examining parts d-e, which could have been done with the energy method? With older methods? With either? If both methods would work, re-do the part with the other method (the one) you did not already use) and show it gives the same result. If you cannot use both methods, explain why the other method doesn't work. Finally: g.) Elmer Fudd (unknown mass) wishes to repeat Bugs Bunny's feat. Assuming he starts from rest, what is the minimum height up the initial hill that he must start, in order to successfully swing around the top of the swing set bar? Please express your answer as a number and as a multiple of the circle's radius. (For example, h-35 m is also 7 times the radius.)