Acceleration and Kinetic Energy

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SUMMARY

The discussion centers on the relationship between acceleration, kinetic energy, and the concept of closest approach in particle physics. The equations used include acceleration (a = F/m) and kinetic energy (Ek = 1/2mv^2). Participants express confusion regarding the maximum kinetic energy of a particle as it approaches a nucleus, particularly in the context of repulsive forces between like charges. The key takeaway is that kinetic energy is maximized at the point of closest approach, and understanding the forces at play is crucial for determining the particle's velocity and energy changes.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Familiarity with the kinetic energy formula (Ek = 1/2mv^2)
  • Basic knowledge of electrostatic forces, particularly Coulomb's Law
  • Concept of potential energy in the context of particle interactions
NEXT STEPS
  • Study the implications of Coulomb's Law on particle motion
  • Explore the concept of energy conservation in particle interactions
  • Learn about the dynamics of charged particles in electric fields
  • Investigate the mathematical derivation of closest approach in particle physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in the principles of particle dynamics and energy transformations in electrostatic contexts.

k0k
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Homework Equations



a=F/m
Ek= 1/2mv^2
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Not exactly sure how to go through with this..
I tried finding velocity with the given kinetic energy, but am unsure what to do next.
 
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What has happened to the kinetic energy at the point of closest approach? Where is the point of closest approach?
 
Um, the kinetic energy is at it's maximum when it's approaching the nuclues?

Wait.. so is the kinetic energy given to me, is the Ek at the beginning I believe. Not sure how that'll help me though.
 
How fast is the particle moving when at its closest to the nucleus? What has been the change in KE? Where has the energy gone? Can you determine the distance of closest approach?
 
k0k said:
Um, the kinetic energy is at it's maximum when it's approaching the nuclues?

Are you sure about that? You have a positive charge approaching another positive charge? Is the force attractive or repulsive?
 

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