An Electron Is Projected with an Initial Velocity V₀ = $10^7$

An electron is projected with an initial velocity v₀ = 8.4 × $10^7$ m/s along the y-axis,which is the centerline between a pair of charged plates,as shown in the figure.The plates are 1.0 m long and are separated by 0.10 m.A uniform $\vec { E }$ field of known magnitude in the +x-direction is present between the plates.If the magnitude of the acceleration of the electron is measured to be $8.9 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { s } ^ { 2 }$ what is the magnitude of the $\vec { E }$ field between the plates? (e = 1.6 × 10^-19 C,m_electron = 9.11 × 10^-31 kg)

A) 51,000 N/C
B) 45,000 N/C
C) 40,000 N/C
D) 35,000 N/C
E) 29,000 N/C

Correct Answer:

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