Calculate True Mass of Aluminum Using Archimedes' Principle | 4.2000 kg + ___ kg

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SUMMARY

The discussion focuses on calculating the true mass of a piece of aluminum using Archimedes' Principle, specifically when its apparent mass is 4.2000 kg in air. The key equations utilized include the buoyant force formula (Buoyant force = density x gravity x volume) and the density formula (d = m/v). Participants emphasize the need to determine the volume of air displaced by the aluminum to find the true mass in a vacuum. The density values for aluminum and air are sourced from Wikipedia to facilitate these calculations.

PREREQUISITES
  • Understanding of Archimedes' Principle
  • Familiarity with buoyant force calculations
  • Knowledge of density and its formula (d = m/v)
  • Ability to source and interpret data from Wikipedia
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  • Research the concept of buoyancy in fluids
  • Learn how to calculate the volume of an object using its density
  • Explore the properties of aluminum and air densities
  • Study practical applications of Archimedes' Principle in engineering
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Students in physics or engineering courses, educators teaching buoyancy concepts, and anyone interested in practical applications of Archimedes' Principle in real-world scenarios.

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Homework Statement


Calculate the true mass (in vacuum) of a piece of aluminum whose apparent mass is 4.2000 kg when weighed in air. (Express your answer as 4.2000 kg plus a positive or negative number.)
(4.2000 + ________ ) kg



Homework Equations



Buoyant force = density x gravity x volume
d=m/v



The Attempt at a Solution



I'm guessing I have to find the amount of air displaced but I'm really not too sure on how to go about doing this
 
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Mass of the aluminum is given. Find the density of aluminum and air from Wikipedia. Using the relevant formula find the volume.
 

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