In an experiment in space, one proton is held fixed and another proton is released from rest a distance of 2.50 mm away.
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Let a = the initial acceleration
Let m = the mass of the protons = 1.67x10^-27 kg
Let k = Coulomb's constant = 8.99x10^9 N•m²/C²
Let q = the charge of a proton = 1.60x10^-19 C
Let G = the gravitational constant = 6.67x10^-11 m³/kg•s²
Let r = the distance between the protons = 4.00x10^-3 m
Let F_e = the electrostatic force between the two protons = kq²/r²
Let F_g = the gravitational force between the two protons = Gm²/r²
The net force is: F = F_e - F_g:
F = (kq² - Gm²)/r²
Using F = ma, the initial acceleration is:
a = (kq²/m - Gm)/r²
I will leave the calculation to you.
Let m = the mass of the protons = 1.67x10^-27 kg
Let k = Coulomb's constant = 8.99x10^9 N•m²/C²
Let q = the charge of a proton = 1.60x10^-19 C
Let G = the gravitational constant = 6.67x10^-11 m³/kg•s²
Let r = the distance between the protons = 4.00x10^-3 m
Let F_e = the electrostatic force between the two protons = kq²/r²
Let F_g = the gravitational force between the two protons = Gm²/r²
The net force is: F = F_e - F_g:
F = (kq² - Gm²)/r²
Using F = ma, the initial acceleration is:
a = (kq²/m - Gm)/r²
I will leave the calculation to you.
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