Your friend (mass 141.7 kg) is canoeing on Utah Lake with his sister (mass 81.6

Question

Your friend (mass 141.7 kg) is canoeing on Utah Lake with his sister (mass 81.6 kg). He had the only paddle but managed to drop it in the lake. It has drifted just out of his reach along the long axis of the canoe. His sister has taken Physics 121 and suggests that if they trade places she might be able to reach the paddle. Due to the high "slime" content of the lake and the slick surface of the canoe, the canoe moves in the water without any friction or drag. The passengers sit 2.03 meters apart and the canoe has a mass of 48.7 kg. After the passengers switch places, how much closer to the paddle (which does not move) is the end of the canoe? (Enter a positive number.)

m ( ± 0.004 m)

Explanation / Answer

center of mass =141.7X0+81.6X2.03+48.7X1.015/(141.7+81.6+48.7)=0.7907m

when they change places

center of mass =141.7X2.03+81.6X0+48.7X1.015/(141.7+81.6+48.7)=1.2392m

so the answer is 1.2392-.7907=0.4485m

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