Speed of electron when kinetic energy given

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SUMMARY

The speed of an electron can be calculated using the classical kinetic energy equation, specifically 1/2mv², where m is the mass of the electron and v is its speed. For a kinetic energy of 6.7 x 10^-19 Joules, this method is appropriate. However, for significantly higher energies, such as 100 times larger, the relativistic kinetic energy equation must be utilized to ensure accuracy. At energies 1000 times larger, the relativistic approach is mandatory for precise calculations.

PREREQUISITES
  • Understanding of classical mechanics, specifically kinetic energy equations.
  • Knowledge of the mass of an electron (approximately 9.11 x 10^-31 kg).
  • Familiarity with relativistic physics concepts.
  • Basic algebra skills for solving equations.
NEXT STEPS
  • Research the relativistic kinetic energy equation and its applications.
  • Learn how to calculate speed using both classical and relativistic methods.
  • Explore the implications of relativistic effects on particle physics.
  • Study the mass-energy equivalence principle as described by Einstein's theory.
USEFUL FOR

Students in physics, educators teaching classical and relativistic mechanics, and anyone interested in the behavior of subatomic particles under varying energy conditions.

gr3g1
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Hey guys, my teacher saked us to solve for the speed of an electron when the kinetic energy is 6.7*10^-19 Joules

So, I fit in the mass of an electron, and the kinetic energy, and solve for v in the 1/2mv^2 equation??

Thanks a lot
 
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gr3g1 said:
Hey guys, my teacher saked us to solve for the speed of an electron when the kinetic energy is 6.7*10^-19 Joules
So, I fit in the mass of an electron, and the kinetic energy, and solve for v in the 1/2mv^2 equation??
Thanks a lot

well obviously yes...thats one way of doing it!
 
For that energy, the classical kinetic energy equation will work fine. If the energy were 100 times larger, you'd probably need to use the relativistic kinetic energy equation, unless your answer didn't have to be very accurate. If the energy were 1000 times larger, you'd definitely need the relativistic equation.
 

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