Speed of proton and alpha particle

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SUMMARY

The discussion focuses on calculating the speeds of an alpha particle and a proton after they are released from a distance of 1.0 * 10^-12 m apart. The alpha particle, with a mass four times that of the proton and a charge of +2e, converts its electrical potential energy into kinetic energy using the equations for electrical energy (kq1q2/r) and kinetic energy (0.5mv^2). The solution involves determining the velocities of both particles when they are infinitely far apart, with particular emphasis on comparing their speeds and the distribution of kinetic energy between them.

PREREQUISITES
  • Understanding of Coulomb's Law and electric potential energy
  • Familiarity with kinetic energy equations
  • Basic knowledge of particle physics, specifically protons and alpha particles
  • Ability to manipulate algebraic equations for solving physics problems
NEXT STEPS
  • Study the principles of conservation of energy in particle interactions
  • Learn about the mass-energy equivalence and its implications in particle physics
  • Explore the concept of momentum conservation in collisions and separations
  • Investigate the behavior of charged particles in electric fields
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Students in physics, particularly those studying electromagnetism and particle dynamics, as well as educators seeking to explain the principles of energy conversion in particle interactions.

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Homework Statement


An alpha particle (4 times the mass of a proton with a charge of +2e) is at rest 1.0 * 10^-12 m from a stationary proton. The 2 particles immediately move apart. Find the speed of each particle when they are infinitely far from each other.


Homework Equations



Electrical Energy = kq1q2/r
Kinetic Energy = 0.5mv^2

The Attempt at a Solution



I used the equation kq1q2/r to find the potential energy of the system and converted the potential energy into 0.5mv^2 to solve for the velocity. I am not sure that I have the right answer.
 
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right approach ... but which one is moving faster? how many times as fast is it?
what fraction of the total KE does the fast one have?
 

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