An electron is launched into a region of constant electric field. E=2 x 10^4 N/C

Question

An electron is launched into a region of constant electric field. E=2 x 10^4 N/C directed along the positive y axis of rectangular coordinate system, with an initial velocity of 2.9x10^7 m/s in the positive x direction. How far has the electron traveled in the y direction during the time interval it takes to move 40 mm in the x direction? (Even though the speed at which the electron moves is an appreciable fraction of the speed of light, ignore relativistic effects.)

1) approximately 3 mm in the negative y direction

2) approximately 3 mm in the positive y direction

3) approximately 12 mm in the negative y direction

4) approximately 12 mm in the positive y direction

5) 0 mm in the y direction

Explanation / Answer

acceleration of electron= force/mass= charge of electron x electric field/mass of electron

= 1.6 x 10^-19 x 2 x 10^4/9.1 x 10^-31

= 0.35 x 10^16 m/s^2 along -ve y-axis

time taken to move 40 mm = 40 x 10^-3/ 2.9 x 10^7 = 13.8 x 10^-10 s

distance travelled = 1/2 x 0.35 x 10^16 x (13.8 x 10^-10)^2 = 33.32 x 10^-4 m= 33.32 x 10^-4 x10^3=3.32mm

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