What is the electric potential energy of a proton

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SUMMARY

The electric potential energy (Ep) of a proton located 20.0 Å from another proton is calculated using the formula Ep = kQ1Q2/r. In this case, with k being Coulomb's constant (9 x 10^9 N m²/C²), and the charge of a proton (1.60 x 10^-19 C), the potential energy is determined to be 1.152 x 10^-19 J. The discussion emphasizes the efficiency of using the potential energy formula directly rather than deriving it from the force equation.

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Homework Statement



What is the electric potential energy of a proton located 20.0 A (one angstrom or 1A is equal to 10^-10m) from another proton?

Homework Equations


Ep= F x d
F= kq1q2/r^2


The Attempt at a Solution



Ep= Fxd
F=kq1q2/r^2

therefore Ep = (Kq1q2)(d)/r^2
d=r
so Ep= KQ1Q2/r

(9x10^9)(1.60x10^-19)(1.60x10^-19)/(20x10^-10)
= 1.152x10^-19J

Help me check see if i got it right please!
 
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Your answer looks right :)
It would be easier to directly use the formula for the potential energy rather than starting with the force equation.
 

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