Mass of gas required to lift another mass

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    Gas Lift Mass
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SUMMARY

The minimum mass of gas required to lift a mass M, including the balloon but excluding the gas itself, is defined by the equation m = (MG) / (A - G), where G represents the gas density and A denotes atmospheric density. This relationship is established based on the principle that the density of the gas must be less than that of the atmosphere to generate sufficient lift. The discussion emphasizes the importance of understanding density relationships in buoyancy calculations.

PREREQUISITES
  • Understanding of basic physics principles, particularly buoyancy.
  • Familiarity with density calculations and relationships.
  • Knowledge of algebraic manipulation to solve equations.
  • Concept of lifting force in relation to atmospheric pressure.
NEXT STEPS
  • Study the principles of buoyancy in fluid mechanics.
  • Learn about the ideal gas law and its applications in buoyancy.
  • Explore real-world applications of gas density in aeronautics.
  • Investigate the effects of varying atmospheric conditions on lift calculations.
USEFUL FOR

Students studying physics, engineers working on aerodynamics, and anyone interested in the principles of buoyancy and gas behavior in lifting applications.

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[SOLVED] mass of gas required to lift another mass

Homework Statement



A balloon contains gas of density G and is to lift a mass M, including the balloon but not the gas. Show that the minimum mass of gas required is m=(MG)/(A-G) where A is the atmospheric density.


Homework Equations


Basic density mass relationships?


The Attempt at a Solution



Obviously the density of the gas is less than the density of the atmosphere, thus the lifting force is possible. I'm just having a hard time seeing the relationships without actual numbers. I tried applying numbers to the situation but that hasn't seemed to help, like making G=.5 and A=1. I need a witty suggestion to jump start me. Thanks
 
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