(1.) Alex (mA = 66 kg; initially at x = 0) and Chris (mC = 58 kg) sit at opposite ends of a motionless boat (mb = 77 kg) whose length, L, is 1.7 m. Chris gets up and moves to Alex’s end of the boat. Assume the water offers no resistance to the motion of the boat.
(a.) If we make a system consisting of the two people + the boat + the Earth and assure ΣFext = 0, what is the change in this system’s momentum prior to and after Chris changing position? (2 pts) (b.) Given the coordinate system in the Figure, find the center-of-mass of this system, xCM, before Chris moves. You can assume the boat is symmetric and of uniform density. (7 pts)
(c.) Find the center-of-mass of this system, x′CM, after Chris moves, as a function of d, the distance the boat moves in the water. (7 pts)
(d.) Find d. (4 pts)
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