Magnitude of electric force on a proton

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SUMMARY

The magnitude of the electric force between two protons separated by 2.5 femtometers (fm) is calculated using Coulomb's law, represented by the equation Fe = K|q1||q2| / r². Substituting the values, where K is 9 x 10⁹ N m²/C² and the charge of each proton is 1.6 x 10⁻¹⁹ C, the resulting force is 37 N. The confusion regarding the charge values arises from the fact that the charge of a proton is equal in magnitude but opposite in sign to that of an electron, which is also 1.6 x 10⁻¹⁹ C.

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  • Understanding of fundamental charge values (proton and electron)
  • Basic knowledge of units in physics (e.g., Newtons, Coulombs, meters)
  • Familiarity with scientific notation and unit conversions
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Sox281212
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Homework Statement


Two protons are 2.5fm apart.
What is the magnitude of the electric force on one proton due to the other proton?

Homework Equations


Fe = K|q1||q2| / r2

The Attempt at a Solution


Fe = (9 x 109)x(1.6 x 10-19)2 / (2.5 x 10-15)2
Fe = 37 N

I got the answer but I don't understand why I am able to use e= 1.6 x 10-19 as q1 and q2? could someone explain? thanks
 
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Because both protons have this charge.
 
Sox281212 said:
I got the answer but I don't understand why I am able to use e= 1.6 x 10-19 as q1 and q2? could someone explain? thanks
You have two charges:
q1 = 1.6e-19C
q2 = 1.6e-19C
why wouldn't the formula F = kq1q2/r2 apply here?
 
Wait, I'm confused.. isn't 1.6 x 10^-19 the charge of an electron?! Oh wait, is it because charge of electron = charge of proton if its neutral?
 
Sox281212 said:
Wait, I'm confused.. isn't 1.6 x 10^-19 the charge of an electron?! Oh wait, is it because charge of electron = charge of proton if its neutral?

+1.6 x 10^-19 C is the charge of a proton. -1.6 x 10^-19 C is the charge of an electron. They are the same magnitude but of opposite sign. Also note that the unit is important, 1.6 x 10^-19 is not a charge, it is a number.
 
Thank you so much, that cleared things up :)
 
Sox281212 said:
Wait, I'm confused.. isn't 1.6 x 10^-19 the charge of an electron?! Oh wait, is it because charge of electron = charge of proton if its neutral?
Charge of electron = -charge of proton. The thing that's neutral is the atom, comprising electrons, equal number of protons yielding the "neutrality", plus possibly neutrons which have no charge. ( The exception is ions which do have a net charge. Example: add salt to water, you get mostly sodium and chlorine ions).
 

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