Solving Bear on Iceberg: Limit Weight & Stay Safe

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To determine how close a polar bear can approach the edge of a floating iceberg without causing it to overflow, one must consider the iceberg's dimensions, density, and the bear's weight. The iceberg measures 5 meters on each side and has a thickness of 0.5 meters, with ice density at 920 kg/m³ and seawater density at 1025 kg/m³. The bear weighs 500 kg, and calculations must account for the buoyancy and displacement of water. The discussion emphasizes the importance of showing initial attempts and identifying specific areas of difficulty for effective assistance. Understanding these principles is crucial for solving the problem safely.
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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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