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Oct 25, 2018 at 1:31 comment added okcapp I certainly didn't address that. I suppose that the balloon will somehow end up on the sphere whose radius is the string the balloon is tied to. And then (as you mentioned in your comment above) you will have to use the combined effect of the earth's gravitational pull on the air in the car with the "acceleration gravity" to find the direction of the density gradient. I would say that the string would point in the direction of the density gradient. Interesting problem.
Oct 25, 2018 at 0:32 comment added Danilo Thank you for the reply! Excellent explanation for the phenomenon. Indeed, a lighter balloon will accelerate more rapidly. I should have specified before that the balloon is tied to the ground, and I wanted to relate the deviation angle to the density of the gas.
Oct 25, 2018 at 0:11 history edited okcapp CC BY-SA 4.0
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Oct 24, 2018 at 9:02 history edited okcapp CC BY-SA 4.0
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Oct 24, 2018 at 8:55 history answered okcapp CC BY-SA 4.0