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[SOLVED] mass of gas required to lift another mass
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.
Basic density mass relationships?
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
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