A balloon filled with a lighter gas occupies a volume of 1500 cu metre. Its mass (mass of material of balloon + mass of gas in it) is 1650 kg. Its tied with a rope and floating in air of density 1.3 kg/cubic metre. The pull on the rope is ?

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1 Answer
Narad T.
Aug 13, 2018

The pull on the rope is #=2940N#

Explanation:

The Buoyancy force is

#F_b=V*rho*g#

The volume of the balloon is #=1500m^3#

The density of air is

#rho=1.3kgm^-3#

The acceleration due to gravity is #g=9.8ms^-2#

The mass of the ballloon is #m=1650kg#

The weight of the balloon is #w=1650*9.8=16170N#

The buoyancy force is

#F_b=1500*1.3*9.8=19110N#

The pull on the rope is

#F_b-w=19110-16170=2940N#

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