\" Ricardo, of mass 71kg, and Carmelita, who is lighter, areenjoying Lake Merced

Question

" Ricardo, of mass 71kg, and Carmelita, who is lighter, areenjoying Lake Merced at dusk in a 29kg canoe. When the canoeis at rest in the placid water, they exchange seats, which are 2.6mapart and symmetrically located with respect to the canoe'scenter. If the canoe moves 36.4 cm horizontally relative to apier post, what is Carmelita's mass?" Thank you!! " Ricardo, of mass 71kg, and Carmelita, who is lighter, areenjoying Lake Merced at dusk in a 29kg canoe. When the canoeis at rest in the placid water, they exchange seats, which are 2.6mapart and symmetrically located with respect to the canoe'scenter. If the canoe moves 36.4 cm horizontally relative to apier post, what is Carmelita's mass?" Thank you!!

Explanation / Answer

    for simplicity let us denote the mass of ricardoas MR and that of carmelita as MC     let the center of mass of the two-person systembe a distance x from the middle of the canoe of length L and massm     then we get that     MR [(L / 2) - x] = m x +MC [(L / 2) + x]     now after they switch positions the center ofthe canoe has moved a distance 2x from its initial positionso we get that     x = 36.4 / 2        = 18.2 cm        = 0.182 m     which we substitute in the above equation to getMC     MC = ........ kg

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