# Two protons, starting several meters apart, are aimed directly at

Two protons, starting several meters apart, are aimed directly at each other with speeds of , measured relative to the earth. Find the maximum electric force that these protons will exert on each other.
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Bukvald5z
speed,
speed,
Let the distance is r.
Use conservation of energy
KE = Potential energy
$2x\frac{1}{x}m{v}^{2}=\frac{k{e}^{2}}{r}$
$r=\frac{k{e}^{2}}{m{v}^{2}}=\frac{9×{10}^{9}×1.6×1.6×{10}^{-38}}{1.67×{10}^{-27}×2×2×{10}^{10}}$

Let the force is F.
$F=\frac{k{e}^{2}}{{r}^{2}}$
$F=\frac{9×{10}^{9}×1.6×1.6×{10}^{-38}}{3.5×3.5×{10}^{-24}}$