The Figure Shows an Arrangement of Two Particles Each Having $Q = - 6.8 \mathrm { nC }$

Multiple Choice

The figure shows an arrangement of two particles each having charge $Q = - 6.8 \mathrm { nC }$ and each separated by $5.0 \mathrm {~mm}$ from a proton. If the two particles are held fixed at their locations and the proton is set into motion as shown, what is the minimum speed the proton needs to totally escape from these particles? $\left( m _ { \text {proton } } = 1.67 \times 10 ^ { - 27 } \mathrm {~kg} , e = 1.60 \times 10 ^ { - 19 } \mathrm { C } , k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \right.$ . $\mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 }$ )

A) $8.3 \times 106 \mathrm {~m} / \mathrm { s }$
B) $1.7 \times 10 ^ { 7 } \mathrm {~m} / \mathrm { s }$
C) $4.3 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$
D) $2.2 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$