An elastic ballon is filled with helium gas of density 0.179kgm^3. Explain why the ballon will raise into the sky.
Answers
Answer:
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Answer:
F = 12,387 Newtons
Steps to complete the problem:
List all of the variables given.
Mass of balloon = 80 kg
Volume of balloon = 1200 m3
Density of Helium = .18 kg/m3
Density of Air = 1.3 kg/m3
Determine the the total mass that can be lifted by the helium balloon.
Mass lifted = mass of the volume of fluid displaced
Mass = (1200 m3)( 1.3 kg/m3)
Mass = 1560 kg
The total amount that can be lifted = 1560 kg (including balloon, helium and payload)
Determine the mass that is displaced.
Determine the mass of helium.
(1200 m3)*(.18 kg/m3) = 216 kg
Subtract the mass of the balloon and mass of the 1200 m3 volume of helium from the total mass that can be lifted.
1560 kg - 80 kg - 216 kg = 1264 kg
Determine the Force required to lift the displace volume of 1200 m3.
F = mg (where g is gravity)
F = (1264 kg) * (9.8 m/s2)
F = 12,387 Newtons
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Editor: Tom Benson
NASA Official: Tom Benson
Last Updated: Jun 12 2014