   Chapter 15, Problem 20P

Chapter
Section
Textbook Problem

An electron is accelerated by a constant electric field of magnitude 300 N/C. (a) Find the acceleration of the electron. (b) Use the equations of motion with constant acceleration to find the electron’s speed after 1.00 × 10−8 s, assuming it starts from rest

(a)

To determine
The acceleration of the electron.

Explanation

Given info: Mass of the electron (m) is 9.11×1031kg . The charge of the electron (q) is 1.6×1019C . The electric field is 300 N/C.

Formula to calculate the force on the electron due to electric field is,

F=|q|E (I)

• E is the electric field.

Force is also given by,

F=ma (II)

• a is the acceleration of the electron.

From Equations (I) and (II)

|q|E=ma

On Re-arranging,

a=|q|Em

Substitute 9.11×1031kg for m, 300 N/C for E and 1

(b)

To determine
The speed of the electron.

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