Forces between particles at a distance. Can someone please check this?

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The electric force between two hydrogen nuclei at a certain distance is equal to the force between two helium nuclei placed twice as far apart. This is because the helium nuclei have double the charge, but the increased distance also doubles, resulting in a cancellation of effects. The force is determined by the equation F = k * q1 * q2 / d^2, where the proportionality to charge and distance squared is key. It is recommended to express the results in equation form for clarity. Overall, the analysis confirms that the forces are indeed the same under the given conditions.
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Homework Statement



How does the electric force between two hydrogen nuclei placed a certain distance apart compare with the force between two helium nuclei placed twice as far apart?

Homework Equations



F= k * q1 x q2 / d^2

The Attempt at a Solution



The force would actually be the same between the hydrogen nuclei and the helium nuclei because although the charge on the helium nuclei is double that of hydrogen (2), the distance between them is also doubled; cancelling out any effect the increased charge could have on the force because force is proportional to the charge of the particles by the distance between them squared.

Thanks in advance!
 
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kirsten_2009 said:

Homework Statement



How does the electric force between two hydrogen nuclei placed a certain distance apart compare with the force between two helium nuclei placed twice as far apart?

Homework Equations



F= k * q1 x q2 / d^2

The Attempt at a Solution



The force would actually be the same between the hydrogen nuclei and the helium nuclei because although the charge on the helium nuclei is double that of hydrogen (2), the distance between them is also doubled; cancelling out any effect the increased charge could have on the force because force is proportional to the charge of the particles by the distance between them squared.

Thanks in advance!

Yes, that's right. But I suggest writing the results out in equation form (and comparing them), just to be clear of ambiguity.
 
collinsmark said:
Yes, that's right. But I suggest writing the results out in equation form (and comparing them), just to be clear of ambiguity.

O.k...sounds good. Thank you so much!
 
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