MC-1 A free electron of charge qe and mass 9.11x10-³¹kg follows the path shown to the right around a carbon nucleus of charge q=+6e. At point P, the electron has a speed of 3.00x10 m/s. a) Find the kinetic energy of the electron at point P₁ in electron-volts. 4x10-¹0m b) Find the potential energy of the electron at point P₁ in electron-volts. c) Find the potential energy of the electron at point P₂ in electron-volts. PL d) Find the kinetic energy of the electron at point P₂ in electron-volts. Hint: How are all of these energies related? 3.00x10 m/s q+6e 5x10-10 2x10-¹⁰m

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Chapter1: Units, Trigonometry. And Vectors
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MC-1 A free electron of charge qe and mass 9.11x10-3¹ kg
follows the path shown to the right around a carbon
nucleus of charge q=+6e. At point P₁ the electron has
a speed of 3.00x10°m/s.
a) Find the kinetic energy of the electron at point P₁
in electron-volts.
4x10-10m
b) Find the potential energy of the electron at point P₁
in electron-volts.
c) Find the potential energy of the electron at point P₂
in electron-volts.
d) Find the kinetic energy of the electron at point P₂
in electron-volts. Hint: How are all of these energies
related?
3.00x10 m/s
q+6e
-10
5x10m
2x10-¹⁰m
y
Transcribed Image Text:MC-1 A free electron of charge qe and mass 9.11x10-3¹ kg follows the path shown to the right around a carbon nucleus of charge q=+6e. At point P₁ the electron has a speed of 3.00x10°m/s. a) Find the kinetic energy of the electron at point P₁ in electron-volts. 4x10-10m b) Find the potential energy of the electron at point P₁ in electron-volts. c) Find the potential energy of the electron at point P₂ in electron-volts. d) Find the kinetic energy of the electron at point P₂ in electron-volts. Hint: How are all of these energies related? 3.00x10 m/s q+6e -10 5x10m 2x10-¹⁰m y
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Given data-

Charge of a free electron,

q1=-e    =-1.6×10-19 C

Charge of the nucleus,

q2=+6e     =+61.60×10-19 C

Mass of the electron is given by

me=9.11×10-31 kg

Speed of the electron at point P1 is

v1=3.00×106 m/s

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