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RE: SteemSTEM physics challenge #1 - Up!

in #science7 years ago (edited)

The diameter of the toy balloon = 30 cm -> r = 15 cm (we assume perfectly round)
Balloon volume = 4/3 x pi x r ^ 3 = 14137 cm3 = 0.014137 m3
The diameter of the toy balloon
30 cm -> r = 15 cm (we assume perfect round)
Balloon volume = 4/3 x pi x r ^ 3 = 14137 cm3 = 0.014137 m3

This balloon will be filled with helium
Helium mass = 0.1785 kg / m3
Air type mass = 1.204 kg / m3 (at a temperature of 20 degrees Celsius)
Difference of mass type = 1.0255 kg / m3 (mass of balloon skin while we ignore)

Power lift per balloon = 0.014137 x 1.0255 = 0.014498 kg
So to lift 1 kg of goods need = 1 / 0.014498 = 69 balloons!

If the weight of House is 200 kg, The Balloon we need is 13800 Balloons

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That's a good first try, but that's not the entire story. First, could you please add enough text so that anyone, even without any physics background, could follow. Thanks in advance (the idea is to share with others the solving of the problem).

Next, and more important: you are making approximations. Please justify them.

this is just some estimate, the question above without weight mass

What I meant is that estimates are OK, as long as they are justified (quantitatively). Can you please justify them? Thanks in advance.

The picture above shows a toy balloon that lifts the house, so the question is how many balloons are needed to lift the house. We just assume energy or lift (number of balloons) per 1kg, thanks @lemounth

Sorry for being unclear, as said below. Let us assume real balloons and a real house :)

If we assume the original house and ballon, what thread or rope will we use? Balloon made of soft rubber and gell, if only we use a strong rope may be a balloon that will tear. i think this is impossible

You have different types of balloons and ropes. IT is up to you to chose the right ones :)

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