Solving Bear on Iceberg: Limit Weight & Stay Safe

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SUMMARY

The discussion focuses on calculating the maximum distance a polar bear can approach the edge of a floating iceberg without causing water to overflow. The iceberg has a side length of 5 meters and a thickness of 0.5 meters, with the ice density at 920 kg/m³ and seawater density at 1025 kg/m³. The bear weighs 500 kg, and the problem requires applying principles of buoyancy and density to determine the safe distance from the edge.

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Homework Statement



A polar bear is sitting on a floating iceberg. How close can the bear come to the edge of the iceberg, so that the water doesn't overflow the edge of the iceberg yet? Iceberg is a square shaped with side a=5m and thickness is 0,5m. Density of ice is 920kg.m^(-3), density of sea water is 1025kg.m^(-3) and weight of bear is 500kg.
 
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