How to gain percentage of atoms that are ionized in balloon?

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Homework Help Overview

The problem involves two inflated balloons that are rubbed against hair and suspended at an angle. The task is to estimate the percentage of atoms that are ionized in each balloon, with reference to the electrostatic forces involved.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between electric force and the percentage of ionized atoms, questioning if a formula exists. They explore the concept of how the distribution of charge affects the ionization percentage and the implications of charge distribution on the balloons.

Discussion Status

The discussion is ongoing, with participants raising questions about the assumptions regarding charge distribution and the nature of ionization. Some guidance has been offered regarding the need to consider electrostatic forces and the mass of the balloons, but no consensus has been reached on how to quantify the ionization percentage.

Contextual Notes

Participants note the lack of specific information about the balloons' charge distribution and the radius, which complicates the analysis of the forces involved. There is an emphasis on deriving insights from first principles rather than relying on established formulas.

TwoEG
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Homework Statement


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You have two inflated balloons. You rub them against your hair and hang them as shown in the figure. The length of the strings is 50 cm and the angle between them is 50°. For each balloon, what is the percentage of atoms that are ionized? Provide a rough estimate. You may find necessary information from the internet.

Homework Equations


[/B]
Coulomb's law

The Attempt at a Solution



I've tried to find a information about that underlined sentence, but I couldn't find any meaningful information that I can apply to this problem. Is there any formula type relationship between electric force and 'percentage of atoms that are ionized in object'?
 
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TwoEG said:
s there any formula type relationship between electric force and 'percentage of atoms that are ionized in object
No, it is up to you to figure it from first principles.
Suppose each balloon has mass m. What is the electrostatic force that would maintain them at that angle?
How many one electron charges (whether all positive or all negative) would be required to generate that force?
 
But does 'extra(or deficient) number of electrons' can really tell the 'percentage of ionized atoms'? What about distribution? If all electrons are gathered on, exaggeratedly, one point of the balloon, can I really say that balloon has same 'percentage of ionized atoms' as another balloon which all electrons are distributed evenly on its surface?
 
TwoEG said:
But does 'extra(or deficient) number of electrons' can really tell the 'percentage of ionized atoms
Not yet... there are more steps.

TwoEG said:
What about distribution?
We do not know how exactly the balloons were charged. Typically they will be more charged on one side than the other, so they would rotate to have the more charged sides on the outer. But since we do not know the radius of the balloons that would leave us unable to figure out the force. So just assume the charge is uniformly distributed.
 

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