How Do You Calculate the Acceleration of This Inflated Balloon?

AI Thread Summary
To calculate the acceleration of an inflated balloon, the buoyant force (Fb) is determined using the formula Fb = density * volume * g, resulting in 6.68 N. The gravitational force (Fg) is calculated as Fg = (mass of balloon + mass of helium) * g, yielding 4.94 N. The net force (Fnet) is found by subtracting Fg from Fb, resulting in 1.74 N. Dividing the net force by the total mass gives an acceleration of 3.45 m/s². The discussion concludes that the answer key's value of 16.4 m/s² is incorrect.
vinamas
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Homework Statement


The mass of an empty balloon is 0.41 kg it got inflated with 0.0938 kg of helium which ressulted in his volume being 0.524 m^3 after being inflated then left to ascend considering the air's density is constant and is 1.30 kg/m^3 what is the acceleration of the balloon (dont consider air resistance)[/B]

Homework Equations


Fb=density*volume*g
Fg=mg
Fnet
a=Fnet/m

The Attempt at a Solution


Fb=1.30*0.524*9.81=6.68257N
Fg=(0.41+0.0938)9.81=4.94N
6.68-4.94=1.74N
1.74/(0.41+0.0938)=3.45 m/s^2
Tye answer sheet says its 16.4?[/B]
 
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The answer key is wrong.
 
SteamKing said:
The answer key is wrong.
SteamKing said:
The answer key is wrong.
Am I right?
 
vinamas said:
Am I right?
Yes.
 
Chestermiller said:
Yes.
Omg thank you that rarely happens lol
 
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