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Your friend (mass of 123.8 kg) is canoeing on a lake with his sister (mass of 81

ID: 2239173 • Letter: Y

Question

Your friend (mass of 123.8 kg) is canoeing on a lake with his sister (mass of

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 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 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 (m) to the paddle

(which does not move) is the end of the canoe?

Explanation / Answer

as we know there is no external force so canoe center of mass will not move let the sister move in the direction of paddle,canoe move in sister's direction and brother in anti. sum of all the movement should be zero as COM remains stationary 81.6*(2.03+x)-123.8*(2.03-x)+48.7x=0 solving x=.337 m

Dr Jack
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