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An electron moving parallel to a uniform electric field increases its speed from 2.0 × 10^7 m/s to 4.0 × 10^7 m/s over a distance of 2.0 cm.What is the electric field strength? Express your answer with the appropriate units.

Question

An electron moving parallel to a uniform electric field increases its speed from 2.0 × 10^7 m/s to 4.0 × 10^7 m/s over a distance of 2.0 cm.

What is the electric field strength?
 
Express your answer with the appropriate units.
check_circleAnswer
Step 1

Write the expression of velocity as a function of position.

 

+
(4.0x10 m/s)(2.0x10' m/s) +2a(2.0 cm)
(4.0x10 m/s)(2.0x10' m/s+2a(2.0 cm)
=
1m
100 cm
(4.0x10 m/s)-(2.0x10' m/s)
2a(2.0x 10 m
a =
a 3x1016 m/s
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+ (4.0x10 m/s)(2.0x10' m/s) +2a(2.0 cm) (4.0x10 m/s)(2.0x10' m/s+2a(2.0 cm) = 1m 100 cm (4.0x10 m/s)-(2.0x10' m/s) 2a(2.0x 10 m a = a 3x1016 m/s

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Step 2

The formula for the electric force due to the electric field on the electron is:

F Eq
= Ee
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F Eq = Ee

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Step 3

From Newton’s seco...

F ma
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F ma

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Tagged in

Science

Physics

Electric Charges and Fields

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