Find Force to Hold Hydrogen Balloon - Homework Help

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To find the force necessary to hold a hydrogen-filled balloon down, one must understand buoyancy and apparent weight. The total weight of the balloon, including its mass and the weight of the hydrogen, must be calculated. The weight of the air displaced by the balloon is determined using the density of air and the balloon's volume. The difference between the weight of the displaced air and the total weight of the balloon gives the buoyant force, which is the force needed to keep the balloon grounded. This approach effectively utilizes the principles of buoyancy to solve the problem.
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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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