Find Force to Hold Hydrogen Balloon - Homework Help

In summary, to find the force necessary to hold the balloon down if it were filled with hydrogen, you need to calculate the difference in weight between the total weight of the floating balloon and the weight of the displaced air. This difference will give you the buoyant force that needs to be counteracted by the tie down. The equation for this is W = m*g = p*V*g.
  • #1
rachelina
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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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  • #2
Does one understand the concept of buoyancy, and effect of apparent weight or the impact of differential weight.

W = m g = [itex]\rho[/itex]V 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.
 
  • #3
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.
 

1. How do you calculate the force required to hold a hydrogen balloon?

The force required to hold a hydrogen balloon can be calculated using the formula F = m x g, where F is the force in Newtons, m is the mass of the balloon in kilograms, and g is the gravitational acceleration (9.8 m/s^2 on Earth).

2. What factors affect the force needed to hold a hydrogen balloon?

The force needed to hold a hydrogen balloon is affected by its mass, the gravitational acceleration, and the buoyant force from the surrounding air. The size and shape of the balloon can also play a role.

3. How does the force needed to hold a hydrogen balloon change at different altitudes?

As the altitude increases, the gravitational acceleration decreases, which in turn decreases the force needed to hold a hydrogen balloon. However, at higher altitudes, the air density also decreases, which can decrease the buoyant force and increase the force needed to hold the balloon.

4. What is the relationship between the force needed to hold a hydrogen balloon and the amount of hydrogen gas inside?

The force needed to hold a hydrogen balloon is directly proportional to the amount of hydrogen gas inside. This means that as the amount of gas increases, the force needed to hold the balloon also increases.

5. How can you make a hydrogen balloon easier to hold?

To make a hydrogen balloon easier to hold, you can decrease its mass or increase the gravitational acceleration. This can be done by using a smaller balloon or going to a location with higher gravity, such as on Earth's surface.

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