A man whose mass is 80 kg and a woman whose mass is 50 kg sit at opposite ends of a canoe 5 m long, whose mass is 30 kg. (a) Relative to the man, where is the center of mass of the system consisting...

A man whose mass is 80 kg and a woman whose mass is 50 kg sit at opposite ends of a canoe 5 m long, whose mass is 30

kg.

(a) Relative to the man, where is the center of mass of the system consisting of man, woman, 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 far does the canoe move in

the water? Explain your work and your assumptions.