The volume of a balloon is 1000 m³. It is filled with helium of density 0.1814 kg m⁻³ . What maximum load can it lift ? Density of air is 1.29 kg m⁻³ .
Answers
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
Balloon can lift a load less then 1087.8 N
Explanation:
Volume of the balloon = 1000 m³.
Density of helium = 0.1814 kg m⁻³
Density of air = 1.29 kg m⁻³
Volume of helium = volume of balloon = 1000 m3
Given density of the balloon is ρ, and volume is V. It is immersed completely in a fluid of density σ. We know that
σ = 1.29 kg/m3 and ρ = 0.18 kg/m3.
The observed weight of the body = W - w = Vρg - Vσg
Given in question that 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
So, the balloon can lift a load less then 1087.8 N