How to Calculate the Height a Helium Balloon Ascends Using Mass and Density

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Homework Help Overview

The problem involves a helium-filled spherical balloon tied to a thread, where the balloon ascends and stabilizes after rising a certain height. Participants are discussing the relevant parameters, including the mass and density of the balloon and thread, as well as the forces acting on the system.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to determine the mass per unit length of the thread and how it relates to the length of the thread when it is h meters long. Questions about the mass of the thread based on its length are raised multiple times.

Discussion Status

There is ongoing clarification regarding the mass of the thread when its length is h meters, with some participants providing guidance on calculating mass per unit length. The discussion is focused on understanding the relationship between the length of the thread and its mass.

Contextual Notes

Participants note that the problem does not provide the mass of the thread for the length h, which is a point of confusion. The original poster expresses uncertainty about how to proceed in finding the height h.

vinamas
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Homework Statement


A heluim filled spherical balloon with a radius of 40 cm got tied into a uniform thread (uniform density) the threads length is 2 meters and its mass is 50 g the balloon ascends when left and ascends a the thread for h meters before it stabalizes again given the empty balloon's mass of 250 g and the density of is 1.29 kg / m^3 and heluim's density of 0.179 find h.[/B]

Homework Equations


I don't really know but I think we need to use Fb and pressure(pascal)

The Attempt at a Solution

 

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Correct assessment so far. What is the mass per unit length of thread? If the thread is h meters long, what is the mass of the thread?
 
Chestermiller said:
Correct assessment so far. What is the mass per unit length of thread? If the thread is h meters long, what is the mass of the thread?
Chestermiller said:
Correct assessment so far. What is the mass per unit length of thread? If the thread is h meters long, what is the mass of the thread?
50 grams as I stated
 
You stated that, if its length is 2 meters its mass is 50 grams, and I asked, if its length is h meters, what is its mass. Do you see the difference?
 
Chestermiller said:
You stated that, if its length is 2 meters its mass is 50 grams, and I asked, if its length is h meters, what is its mass. Do you see the difference?
Sorry I might have not been clear but 50 grams is the entire thread's mass and the only one give for the thread the problem doesn't give the mass for the length h
 
vinamas said:
Sorry I might have not been clear but 50 grams is the entire thread's mass and the only one give for the thread the problem doesn't give the mass for the length h
The first step in solving this problem is to determine from the information given what the mass of the string is if its length is h, rather than 2 meters.
 
Chestermiller said:
The first step in solving this problem is to determine from the information given what the mass of the string is if its length is h, rather than 2 meters.
I cannnot seem to find a way to do that
 
If 2 meters of the thread has a mass of 50 grams, what is the mass per unit length of thread (in grams per meter)?
 
25?
Chestermiller said:
If 2 meters of the thread has a mass of 50 grams, what is the mass per unit length of thread (in grams per meter)?
 
  • #10
vinamas said:
25?
Good. Now, if the mass per unit length of the thread is 25 gm/m, and the length of the thread is h meters, what is the mass (in grams) of the thread (algebraically, in terms of h)?
 
  • #11
Chestermiller said:
Good. Now, if the mass per unit length of the thread is 25 gm/m, and the length of the thread is h meters, what is the mass (in grams) of the thread (algebraically, in terms of h)?
25 per m-h?
 
  • #12
vinamas said:
25 per m-h?
It's 25h grams. So, if h = 2 m, for example, the mass is 50 gm, and if h is 12 m, the mass is 300 gm. Does that make sense now?
 
  • #13
Chestermiller said:
It's 25h grams. So, if h = 2 m, for example, the mass is 50 gm, and if h is 12 m, the mass is 300 gm. Does that make sense now?

yes but how do I find h ?
 

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