Potential Energy of Point-Charges: the Figure Shows an Arrangement of Two

Multiple Choice

Potential energy of point-charges: The figure shows an arrangement of two - 4.5 nC charges, each separated by 5.0 mm from a proton. If the two negative charges are held fixed at their locations and the proton is given an initial velocity v as shown in the figure, what is the minimum initial speed v that the proton needs to totally escape from the negative charges? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C², e = 1.60 × 10^-19 C, m_proton = 1.67 × 10^-27 kg)

A) 1.8 × 10⁶ m/s
B) 3.5 × 10⁶ m/s
C) 6.8 × 10⁶ m/s
D) 1.4 × 10⁷ m/s