here,
A)
q1 = 2.4 nC = 2.4 * 10^-9 C
q2 = 4.6 nC = - 4.6 * 10^-9 C
q3 = 6.2 nC = 6.2 * 10^-9 C
d1 = 4.2 cm = 0.042 m
d2 = 1.4 cm = 0.014 m
d3 = 2.1 cm = 0.021 m
A)
the electric potential at A , V = K * q1 /d1 + K * q2 /d2 + K * q3 /(d2 + d3)
V = 9 * 10^9 * 10^-9 * ( 2.4 /0.042 - 4.6 /0.014 + 6.2 /(0.014 + 0.021) )
V = - 849 V
B)
mass of electron , m = 9.1 * 10-31 kg
charge , q = - 1.6 * 10^-19 C
let the speed of electron be v
using Work-energy theorm
V * q = 0.5 * m * v^2
(-849) * ( -1.6 * 10^-19) = 0.5 * 9.1 * 10^-31 * v^2
solving for v
v = 1.73 * 10^7 m/s
the speed of electron is 1.73 * 10^7 m/s
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