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A 100kg person is sitting on the left edge of his boat in still water at...

A 100kg person is sitting on the left edge of his boat in still water at 7.5m from the shore. The boat also has a 100kg mass, is 6. long, and symmetrical shape so that its center of mass is the middle where the whole weight of the boat can be assumed to be acting.

a. How far to the right is the center of mass (CM) of the boat from the shore.

b. How far is the CM of the whole system (person and boat) is located from the shore?

c. Now the person walks to the other end of the boat. Suppose we neglect the external force of friction between the water and the boat, does the CM of the system change? Justify your answer.

d. Calculate how much and which way the boat moves when the person walks to the other end of it.

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