How large a cargo can it lift

A spherical balloon has a radius of 7. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of kg? Neglect the buoyant force on the cargo volume itself. And the argument is principal. The question is, this is physical balloon of radius 7. And it is filled with the idea helium guests.

We have to find how large a cargo can it lived. The mass of the balloon is given. Now to solve this question. The approaches the argument is principal. We know that according to the committee's principal, the buoyancy force on object A must in a flood is equal to the weight of the flood displaced by that object.

So the buoyancy falls on the balloon must be equal to the weight of the balloon plus the weight of the helium inside the balloon plus the weight of the Lord that it can lift. So we can write the force of the buoyancy would be equal to the weight of the helium gas plus mhm. The weight of the balloon plus the weight of the cargo.

And this balancing force would be equal to the weight of the flute displaced by the object. That is density of air, multiplied by volume of balloon, multiplied by G. We can write mass of the helium s density of helium while they played by volume of balloon. Plus mbg plus miles of Chicago multiplied by gravity.

Now from this equation we can find most of the cargo that would be equal to mhm. Hey liam multiplied by volume of the balloon minus mass of the balloon. We have all the values or before that we can simplify it as we know the volume of the balloons for battery by our cube.

Since it is is fair. Now we can substitute the values in the above equation. Ask a new question Get plagiarism-free solution within 48 hours. Review Please. Next Previous. Related Questions. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of kg?

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Problem 8. Problem 9. Problem Video Transcript here will Aah be using the essentially applying Newton's second law and saying that the brilliant force of the balloon must eat well the weight of the balloon, plus the weight of the helium inside the balloon. Numerade Educator.