A man whose mass is 80 kg and a women whose mass is 50 kg sit at opposite ends of a canoe 5m long, whose mass is 30kg. (a) Relative to the man, where is the center of mass of the system consisting of man, women, and canoe? (Hint: choose a specific coordinate system with a specific origin.) (b) Suppose that the man moves quickly to the center of the canoe and sits down there. How fr does the canoe move in the water? Explain your work and your assumptions.

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