The volume of a balloon is 2000 m³. It is filled with helium of density 0.18 kg m⁻³. What load can it lift? Density of air is 1.29 kg m⁻³.
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The volume of the He gas is, V = 100 m3
When a body of density ρ, volume V is immersed completely in a fluid of density σ then,
σ = 1.29 kg/m3 and ρ = 0.18 kg/m3
The observed weight of the body = W - w = Vρg - Vσg
according to question: W<w (ρ<σ)
Net force = W - w = Vρg - Vσg = Vg(0.18 - 1.29) = - 1087.8 N
Net force in the upward direction = 1087.8 N
It can lift a load having weight less then 1087.8 N
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