Calculating Speed of Charged Particles in Electric Field: An Example"

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SUMMARY

The discussion focuses on calculating the speed of two charged particles, each with a mass of 5.3 x 10-3 kg, and charges of +5.0 x 10-6 C and -5.0 x 10-6 C, respectively. Initially held at a distance of 0.75 m, they accelerate towards each other due to their opposite charges. The key formula utilized is the conversion of electric potential energy into kinetic energy, expressed as ΔU = (mv2/2) + (mv2/2). The discussion emphasizes the importance of momentum conservation when dealing with particles of different masses.

PREREQUISITES
  • Understanding of electric potential energy and kinetic energy conversion
  • Familiarity with Coulomb's law and the behavior of charged particles
  • Knowledge of basic mechanics, including mass and acceleration
  • Ability to apply conservation of momentum principles
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  • Study the derivation of electric potential energy in charged systems
  • Learn about conservation of momentum in particle interactions
  • Explore the implications of charge interactions in electric fields
  • Investigate advanced topics in classical mechanics related to particle dynamics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields.

StudentofPhysics
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Two particles each have a mass of 5.3 10-3 kg. One has a charge of +5.0 10-6 C, and the other has a charge of -5.0 10-6 C. They are initially held at rest at a distance of 0.75 m apart. Both are then released and accelerate toward each other. How fast is each particle moving when the separation between them is one-half its initial value?


ok, I know:
q1 = +5.0 x 10^-6 C
q2 = -5.0 x 10^-6 C
r = 0.75m
m = 5.3 x 10^-3 kg

Since they are opposite charges they will atract each other.

I can't seem to figure out where to begin on what formula to use to discover the speed without any time.
 
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the fastest way would be transfering the potential energy difference to kinetic energy.

[tex]\Delta U=\frac{mv^2}{2}+\frac{mv^2}{2}[/tex]

if they didn't have the same mass you had to use the momentum conservation eq. aswell.
 
Last edited:

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