The volume of a balloon is 1100 m³. It is filled with helium of density 0.18 kg m-³. What maximum load can it lift? The density of air is 1.29 kg m-³.
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Explanation:
Given volume of balloon V=1000m3V=1000m3
density of helium ρ=0.18kgm−3ρ=0.18kgm-3
density of air =1.29kgm−3=1.29kgm-3
Weight of helium filled balloon
=V×ρ×g=1000×0.18×g=V×ρ×g=1000×0.18×g
=180gN=180=180gN=180 kgf
Weight of air displaced = upthrust
=V×density of air×g=V×density of air×g
=1000×1.29×g=1000×1.29×g
=1290gN=1290kgf=1290gN=1290kgf
Resultant upward force on balloon
= upthrust-weight of balloon
=1290−18=110=1290-18=110 kgf
So it can life a maximum loa d of 1110 kgf.
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