A balloon filled with helium gas has an average density of ρb = 0.31 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.075 m3. The balloon is floating upward with acceleration a.  Express the total force F in terms of W and Fb assuming upward is the positive direction.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 58PQ: Air flows horizontally with a speed of 108 km/h over a house that has a flat roof of area 20.0 m2....
Question

A balloon filled with helium gas has an average density of ρb = 0.31 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The volume of the balloon is Vb = 0.075 m3. The balloon is floating upward with acceleration a.

 Express the total force F in terms of W and Fb assuming upward is the positive direction. 

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