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 ?

1 Answer
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