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

Question 46

Multiple Choice

The figure shows an arrangement of two particles each having charge Q=6.8nCQ = - 6.8 \mathrm { nC } and each separated by 5.0 mm5.0 \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? (mproton =1.67×1027 kg,e=1.60×1019C,k=1/4πε0=9.0×109 N\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. . m2/C2\mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } )
 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 }


A) 8.3×106 m/s8.3 \times 106 \mathrm {~m} / \mathrm { s }
B) 1.7×107 m/s1.7 \times 10 ^ { 7 } \mathrm {~m} / \mathrm { s }
C) 4.3×106 m/s4.3 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }
D) 2.2×106 m/s2.2 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }

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