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Answer :
Final answer:
The displacement of the boat relative to water will be zero after an 80 kg person moves from one end to the other because the system's center of mass must remain stationary relative to the water, conserving momentum without external forces.
Explanation:
The problem described pertains to the principles of conservation of linear momentum in Physics. When a person moves from one end of a stationary boat to the other in still water, the boat will move in the opposite direction to conserve momentum, but the displacement of the boat with respect to the water will be zero. This is because the system consisting of the person and the boat is closed and initially at rest, and there are no external horizontal forces acting on it. As the person moves, the boat shifts in the opposite direction to maintain the center of mass of the system at the same position relative to the water. While the boat does move relative to its initial position, the total displacement of the boat at the end of the movement, once the person has stopped, will be zero because any displacement is countered by an equal and opposite displacement due to conservation of momentum.
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