How Far Must Protons Be to Equate Electrostatic and Gravitational Forces?

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To determine the distance at which the electrostatic force between two protons equals the gravitational force on a proton at Earth's surface, one must consider both forces' magnitudes. The gravitational force acting on a proton is very small, and the charge of the proton, equal in magnitude to that of an electron but positive, is crucial for calculations. The discussion highlights the need for knowing the charge to solve for the distance, as it introduces one variable in the equation. The relationship between these forces reveals the vast difference in strength, necessitating a significant distance for equality. Understanding these fundamental forces is essential for accurate calculations in physics.
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The question is how far apart must two protons be for the magnitude of the electrostatic force acting on either one of them to be equal to the force acting on a proton at Earth's surface due to gravity?

I calculated the force acting on a proton at the Earth's surface, very small of course, but in order to find the distance between the two protons shouldn't I know the charge of the protons inorder to have one unknown left, the distance?
 
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The charge on the proton is the same magnitude as the charge on an electron. (The proton's charge is positive, of course.) Look it up!
 
STUPID! :eek:
 
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