Posted by diagne on Monday, December 3, 2012 at 5:07am.
A man with a mass of 64.1 kg stands up in a 61kg canoe of length 4.00 m floating on water. He walks from a point 0.75 m from the back of the canoe to a point 0.75 m from the front of the canoe. Assume negligible friction between the canoe and the water. How far does the canoe move?

physics  drwls, Monday, December 3, 2012 at 8:07am
The canoe will move so that the center of mass of man plus canoe stays in the same place.
The center of mass in the beginning is a distance X from center, in the back portion.
64.1*1.25 + 61*0 = 125.1 X
X = 1.13 m
When the man walks to within 0.75 m of the front of the canoe, he will have moved 2.5 m relative to the canoe. The center of mass will then be 1.13 m to the front of center.
For the center of mass to remain in the same place relative to the water, the cane must move 2.26 m to the rear
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