Solve Archimedes Principle: 800kg Load on 5x2m Barge in Fresh Water

AI Thread Summary
To determine how much deeper a 5x2 meter barge sinks when an 800 kg load is added, Archimedes' Principle is applied, which states that the buoyant force equals the weight of the displaced fluid. The weight of the load is 800 kg, which corresponds to a volume of water displaced of 0.8 cubic meters, given the density of fresh water is 1000 kg/m³. The area of the barge is 10 square meters, so the additional depth it sinks can be calculated by dividing the volume of displaced water by the area of the barge. This results in a sinking depth of 0.08 meters, or 8 centimeters. Understanding these calculations is essential for solving similar physics problems.
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Homework Statement




A rectangular barge, 5 meters long and 2 meters wide, floats in fresh water. How much deeper will the barge sink when a 800 kg load is added to the barge? Use a density of water of 1000 kg per cubic meter.



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