An electron and a proton are both released from rest, midway between the plates of a charged parallel-plate capacitor. The only force on each of the two particles is the force from the uniform electric field due to the capacitor. Each particle accelerates until striking one of the plates of the capacitor. (There is no gravity in this problem and we ignore the small force between the electron and the proton.) How do the final kinetic energies and final speeds (just before striking a plate) compare?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Options: 

a) Neither, both have the same final KE

b) the proton

The answer is (a) neither, but I am struggling to understand why. I included my work, so maybe you can help me understand where I am going wrong. 

Things we know: 

KE = 1/3 MV^2

Mass of electron : 9.1 x 10^-31 kg (smaller)

Mass of proton: 1.67 x 10^-27 kg (larger)

Force = same magnitude for both since they both have the same magnitude of charge in the same Efield

F=ma

An electron and a proton are both released from rest, midway between the plates of a
charged parallel-plate capacitor. The only force on each of the two particles is the
force from the uniform electric field due to the capacitor.
Each particle accelerates until striking one of the plates of the capacitor. (There is no
gravity in this problem and we ignore the small force between the electron and the
proton.)
How do the final kinetic energies and final speeds (just before striking a plate)
compare?
Transcribed Image Text:An electron and a proton are both released from rest, midway between the plates of a charged parallel-plate capacitor. The only force on each of the two particles is the force from the uniform electric field due to the capacitor. Each particle accelerates until striking one of the plates of the capacitor. (There is no gravity in this problem and we ignore the small force between the electron and the proton.) How do the final kinetic energies and final speeds (just before striking a plate) compare?
224 An electron and a proton are both released from rest,
mid way between the pates of a charged parallel
plate capaci tor. The only forceon each óf the two partcles
is the force from the unitoimn electric field due to the
capacitor.
Each partide accelerates until striking one of the plates
of the capacitor. How do The final Finetic energies
compare?
ORIGINAL ANSWER : The protn
ACTUAL ANSWER: neither, both have the same KE
EX PLANATION:
FBD
-31
rest
F=m :a
%3D
9.1x10
"ka) 9.110
-31\2
to
a = M
FER
EF
E same
1o67 *10
FEr
-27
same
IL
Transcribed Image Text:224 An electron and a proton are both released from rest, mid way between the pates of a charged parallel plate capaci tor. The only forceon each óf the two partcles is the force from the unitoimn electric field due to the capacitor. Each partide accelerates until striking one of the plates of the capacitor. How do The final Finetic energies compare? ORIGINAL ANSWER : The protn ACTUAL ANSWER: neither, both have the same KE EX PLANATION: FBD -31 rest F=m :a %3D 9.1x10 "ka) 9.110 -31\2 to a = M FER EF E same 1o67 *10 FEr -27 same IL
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