An electron is accelerated by a constant electric field of magnitude 270 N/C. (a) Find the acceleration of the electron. m/s? (b) Use the equations of motion with constant acceleration to find the electron's speed after 9.50 x 10-9 s, assuming it starts from rest. m/s

University Physics Volume 2
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Chapter7: Electric Potential
Section: Chapter Questions
Problem 105AP: An electron has an initial velocity of 5.00106m/s in a uniform 2.0010m/s electric field. The field...
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An electron is accelerated by a constant electric field of magnitude 270 N/C.
(a) Find the acceleration of the electron.
m/s2
(b) Use the equations of motion with constant acceleration to find the electron's speed after 9.50 × 10 s, assuming it starts from
rest.
m/s
Transcribed Image Text:An electron is accelerated by a constant electric field of magnitude 270 N/C. (a) Find the acceleration of the electron. m/s2 (b) Use the equations of motion with constant acceleration to find the electron's speed after 9.50 × 10 s, assuming it starts from rest. m/s
Expert Solution
Part (a)

Given Data:

Electric field = E = 270 N/C

Charge of an electron = e = 1.6 x 10-19 C

Mass of an electron = me = 9.11 x 10-31 kg

Solution:

The electric force is 

                                   F = qE          . . . . . (i)

Using Newton's second law

                                   F = ma         . . . . . (ii)

Equating (i) & (ii)

                                   a = qEm

                                    a = eEme

                                    a = 1.6×10-19×2709.11×10-31

                                     a = 4.74 x 1013 m/s2

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