The following problems consider the scalar form of Coulomb's law, which describes the electrostatic force between two point charges, such as electrons. It is given by the equation F(r)=k_e * |q_1 * q_2| / r², where k_e is Coulomb's constant, q_i are the magnitudes of the charges of the two particles, and r is the distance between the two particles. Instead of making the force 0 at R, instead we let the force be 10⁻²⁰ for r ≥ R. Assume two protons, which have a magnitude of charge 1.6022 * 10⁻¹⁹ C, and the Coulomb constant k_e = 8.988 * 10⁹ Nm² / C². Is there a value R that can make this system continuous? If so, find it.

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