How High Will the Helium Balloon Lift the String?

AI Thread Summary
The discussion revolves around calculating the height a helium balloon can lift a portion of a string when released. The balloon has a mass of 0.25 kg and is tied to a 2 m long string with a mass of 0.05 kg. Key equations mentioned include the pressure equation P = P0 + pgH, where variables represent atmospheric pressure, density, gravity, and height. Participants express confusion about how to incorporate the string's mass and the significance of the height variable in the context of the problem. Clarification on these points is needed to solve for the length of the string that is lifted.
Terrence
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Homework Statement


A helium filled balloon is tied to a 2 m long uniform string of mass 0.05 kg.The balloon is spherical
with a radius of 0.4 m. When released it lifts a length h of the string off of the ground. Find the length h given that
the balloon has a mass of 0.25 kg.


Homework Equations



I think...

P = P0 + pgH

P is pressure, P0 is atmospheric pressure, p is density, g is gravity, H is height

The Attempt at a Solution



I'm really lost on this one...

I know desity is mass/volume, so I guess I can use .25 for mass and (4/3)pi*r3 to find the balloon's density. But I don't know the importance of the string's mass or how I am supposed to use all this information to find how high the balloon goes.
 
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Terrence said:

Homework Equations



I think...

P = P0 + pgH

P is pressure, P0 is atmospheric pressure, p is density, g is gravity, H is height

The Attempt at a Solution


Is this the relevant equation? What is the meaning of H? The height of what? And what pressure is p?

ehild
 
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