Calculate Energy of System: Electron Gun, KE, Force, Acceleration, Time

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SUMMARY

The discussion focuses on calculating the kinetic energy, electric force, acceleration, and time interval for an electron in an electron gun of an electron microscope. The kinetic energy (KE) of the electron is calculated using the formula KE = 0.5mv², resulting in a value of 3.8516E-16 J. The mass of the electron is specified as 9.10938215E-31 kg, and the velocity is determined to be 9.7% of the speed of light, approximately 29079868.43 m/s. The user successfully identifies the need to incorporate the distance between the plates (3.05 cm or 0.0305 m) for further calculations.

PREREQUISITES
  • Understanding of kinetic energy calculations using the formula KE = 0.5mv²
  • Knowledge of basic physics concepts such as electric force and acceleration
  • Familiarity with the properties of electrons, including mass and charge
  • Basic understanding of the speed of light and its significance in physics
NEXT STEPS
  • Calculate the electric force acting on the electron using F = ma
  • Determine the acceleration of the electron using the formula a = (v² - u²) / (2s)
  • Calculate the time interval the electron spends between the plates using the formula t = (v - u) / a
  • Explore the effects of relativity on electron behavior at high speeds for advanced understanding
USEFUL FOR

Physics students, educators, and professionals working with electron microscopy or studying particle dynamics will benefit from this discussion.

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Homework Statement


In an electron microscope, there is an electron gun that contains two charged metallic plates 3.05 cm apart. An electric force accelerates each electron in the beam from rest to 9.70% of the speed of light over this distance. (Ignore the effects of relativity in your calculations.)

(a) Determine the kinetic energy of the electron as it leaves the electron gun. Electrons carry this energy to a phosphorescent viewing screen where the microscope's image is formed, making it glow.
J

(b) For an electron passing between the plates in the electron gun, determine the magnitude of the constant electric force acting on the electron.
N

(c) Determine the acceleration of the electron.
m/s2

(d) Determine the time interval the electron spends between the plates.
s


Homework Equations


So far only KE=.5mv^2


The Attempt at a Solution



A) KE=.5mv^2

Where m = mass of the electron...9.10938215E-31kg
and V = 9.7% of the speed of light...29079868.43
KE=3.8516E-16

Is that correct for A?

Second I'm a bit lost on where to go from here. I know it has to do with the length in meters (.0305m). Can anyone help please?
 
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Figured it out. :)
 

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