How Close Will Two High-Speed Charged Particles Get?

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SUMMARY

The discussion focuses on calculating the minimum separation between two high-speed charged particles, each with a mass of 6.6 X 10^-27 kg and a charge of 3.2 X 10^-19 C, both moving at an initial speed of 3.0 X 10^6 m/s. The relevant equations include the conservation of energy, represented as EE + EK = EEprime + EKprime, where EE is electric energy and EK is kinetic energy. The challenge lies in understanding how the phrase "separated by an enormous distance" influences the energy equation, particularly in terms of adjusting the mass when combining kinetic energy terms.

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Homework Statement


Two particles, separated by an enormous distance, approach each other. Each has an initial speed of 3.0 X 10^6 m/s. Calculate their minimum separation, assuming no deflection from their original path. The mass of a particle is 6.6 X 10^-27 kg.

Particle charge = 3.2 X 10^-19 C

Given:
V = 3.0 X 10^6m/s
mass of particle = 6.6 X 10^-27 kg
r = ?




Homework Equations


E = Eprime
Fe = kq1q2/r^2



The Attempt at a Solution


EE + EK = EEprime + EKprime
Kq1q2/r + 1/2 mv^2 = Kq1q2/r + 1/2m(vprime)^2

Dont know where to go from there
 
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How does the phrase "separated by an enormous distance" affect a term in the energy equation?

When you plug in numbers to your equation, what do you get? (I noticed you combined the kinetic energy of both particles into one term on each side, so you'll have to adjust the mass to deal with that.)
 

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