An electron is initially at rest in an electric field shown below and at the ori

Question

An electron is initially at rest in an electric field shown below and at the origin. What is the electric field vector in polar and component notation if the electron is at the noted location 30 seconds later? What is the electron's velocity at this location?

An electron is initially at rest in an electric field shown below and at the origin. What is the electric field vector in polar and component notation if the electron is at the noted location 30 seconds later? What is the electron's velocity at this location?

Explanation / Answer

x = 0.5 a t^2

==> a = 2x/t^2 = 2*50/(30*30) = 0.11111 m/s2

F = m a = 9.109e-31 * 0.11111 = 1.01210099e-31 N

E = F/q = 1.01210099e-31/1.6e-19 = 6.33 x 10^-13 N/C

Polar notation:

magnitiude = 6.33 x 10^-13 N/C

direction: 180 degrees from +x

Component notation:

(-6.33 x 10^-13 , 0)

or Ex = -6.33 x 10^-13 N/C

and Ey = 0 N/C

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