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

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SUMMARY

The discussion focuses on applying Archimedes' Principle to determine how much deeper a rectangular barge, measuring 5 meters in length and 2 meters in width, will sink when an 800 kg load is added. Using the density of fresh water at 1000 kg per cubic meter, the solution involves calculating the volume of water displaced by the added weight. The conclusion is that the barge will sink deeper by 0.4 meters when the load is applied.

PREREQUISITES
  • Understanding of Archimedes' Principle
  • Basic knowledge of density and volume calculations
  • Familiarity with metric units of measurement
  • Ability to perform simple algebraic equations
NEXT STEPS
  • Study the derivation of Archimedes' Principle in fluid mechanics
  • Learn how to calculate buoyancy and its applications in real-world scenarios
  • Explore the relationship between weight, volume, and density in physics
  • Investigate practical examples of buoyancy in marine engineering
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Students studying physics, particularly those focusing on fluid mechanics, as well as educators and anyone interested in practical applications of Archimedes' Principle.

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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.



Homework Equations



not sure

The Attempt at a Solution



completely lost
 
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