Find Force to Hold Hydrogen Balloon - Homework Help

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SUMMARY

The discussion focuses on calculating the force required to hold a hydrogen-filled balloon down, given its volume and the densities of air, helium, and hydrogen. The balloon has a volume of 2.0 x 106 cubic meters and a mass of 200,000 kg. The key equation used is W = m g = ρV g, where the buoyant force is determined by the difference between the weight of the balloon and the weight of the air it displaces. The necessary force to keep the balloon grounded is equal to this buoyant force.

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Homework Statement



The density of air is 1.29 kg per cubic meter.
The density of helium is 0.18 kg per cubic meter.
The density of hydrogen is 0.06 kg per cubic meter.
When inflated, a balloon has a volume of gas of 2.0 X 10^6 cubic meters.
When empty, the balloon has a mass of 200,000 kg.

HOW DO I FIND THE FORCE NECESSARY TO HOLD THE BALLOON DOWN IF IT WERE FILLED WITH HYDROGEN?

I have no idea what the equation would be. HELP!


The Attempt at a Solution



Uhhhh...
 
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Does one understand the concept of buoyancy, and effect of apparent weight or the impact of differential weight.

W = m g = \rhoV g. The difference in weights would give the buoyant force and that is the force that would have to be provided by the tie down.
 
Find the total weight of the floating balloon. Find the weight of the displaced air. Difference of these weights will be the force necessary to hold the balloon down.
 

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