Question 4 4) An electron\' is moving parallel to the y axis (see below) in a re

Question

Question 4

4) An electron' is moving parallel to the y axis (see below) in a region of space where a uniform electric field is known to be present. The particle is slowing down at a rate of 3 x 1014 m/s. a) Determine the magnitude a direction of the electrostatic force that acts on the electron. Determine the magnitude and direction of the electric field. Draw a diagram indicating the direction of both vectors. b) Now imagine a proton moving along the y axisjust like the electron through the same field. Determine the magnitude and direction of this particle's acceleration. c) Instead imagine each particle (in separate trials inititally traveling left to right parallel to the x axis. Make a sketch show how each particle's motion would be affected by the field (ie. sketch of the probable trajectory)

Explanation / Answer

a)
a = 3*10^14 m/s^2

F = q*E
m*a = q*E

==> E = m*a/q

= 9.1*10^-31*3*10^-14/1.6*10^-19

= 1706.25 N/c
direction of E is towards +y axis

b)

F = q*E
m*a = q*E

==> a = q*E/m

= 1.6*10^-19*1706.25/1.67*10^-27

= 1.634*10^11 m/s^2

direction of acceleration is towards +y axis

c)

electrons deflect downward

protons deflect upward

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