A balloon filled with a lighter gas occupies a volume of 1500 cubic m .It’s mass (mass of balloon + mass of gas in it) is 1650 kg.It is tied with a thread and floating in the air of density is 1.3 kg/cubic m . The pull on the thread tied to rope is
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hi,
A floating object displaces its own weight/mass of the fluid it floats in.
air density = 1.3 kg/m³
volume of balloon = 1500 m³
mass of balloon + mass of gas in it = 1650 kg
volume of air displaced by balloon and gas in it = (1650)/1.3 = 1269 m³
excess volume = 1500 - 1269 = 231 m³
mass of air in excess volume = 231(1.3) = 300 kg
force of gravity on excess mass of air = 300(9.81) = 2946 N
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