15. If you wanted to solve the following problem, what theorem would you use? Note that you do not need to solve the problem, just name the theorem. But .... three points extra credit if you not only name the theorem, but correctly use it to solve the problem: Three people are floating at rest on a 100kg circular raft on a warm sunny day. They decide to go swimming and all jump off the raft at the same time from equally spaced positions around the raft's perimeter. Each person jumps straight out, directly away from the center of the raft. One person, with a mass of 62kg, jumps off the raft with a speed of 12 m/s. The second person, of mass 73 kg, jumps off the raft with a speed of 4 m/s. The third person, of mass 55kg, jumps off the raft with a speed of 11 m/s. At what speeds will the raft drift from its original position after the people jump off? 16. What is the moment of inertia of the system of the three point masses shown about an axis perpendicular to the page and passing through the 600g mass? 800g. 6m 30 degrees 30 degrees 600g 5m 500g 17. An object's velocity-vs-time graph is shown below. If the object is at a position of x = +3m at t = 0, where is the object at t = 5 sec? -2 m/s