Calculating Buoyant Force of Balloon System

AI Thread Summary
The discussion revolves around calculating the buoyant force of a hot air balloon system experiencing an unusual downward acceleration of 110 m/s². The total mass of the balloon is given as 315 kg, leading to a calculated gravitational force of 3087 N. The net force is computed to be 34650 N, resulting in a buoyant force of 31563 N, which seems implausible for a balloon. Participants express skepticism about the problem's parameters, particularly the extreme acceleration, suggesting a need to verify the numbers provided. The conversation highlights the importance of accuracy in physics problems, especially when dealing with extreme scenarios.
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Homework Statement



A hot air balloon experiences an acceleration of 110 m/s2 [down]. The total mass of the balloon is 315kg
What is the buoyant force of the system?

aballoon = 110m/s2
agravity = 9.8m/s2
mtotal = 315

Homework Equations


Fgravity = 315 * 9.8 = 3087
Fnet = 315 * 110 = 34650

The Attempt at a Solution


-Fup + Fgravity = Fnet
-Fup + 3087 = 34650
-Fup = 34650 - 3087
-Fup = 31563

Which is not the answer 274 N up
 
Last edited:
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Seriously? A hot air balloon accelerating at a rate of 110 m/s^2? That's about 11 g's. The air force is going to want to know about this! Maybe NASA!

Better check the numbers given in the problem statement.
 

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