How Do Two Charged Beads Interact in Motion?

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SUMMARY

The discussion centers on the interaction between two charged beads, Q1 and Q2, where Q1 is in motion towards a stationary Q2 on a frictionless insulating rod. Both beads have a mass of 10g and a charge of 2µC. To determine how close Q1 approaches Q2 before reversing direction, the principle of conservation of energy is applied, equating the initial kinetic energy with the potential energy at the closest point. Additionally, the maximum force exerted on Q1 is to be calculated based on the electrostatic interaction between the two charges.

PREREQUISITES
  • Understanding of electrostatics, specifically Coulomb's Law
  • Knowledge of conservation of energy principles in physics
  • Familiarity with kinetic and potential energy calculations
  • Basic concepts of motion in a frictionless environment
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  • Learn about conservation of energy in mechanical systems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatic interactions and energy conservation in motion scenarios.

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Homework Statement


Two charged beads, Q1 and Q2, are placed on a long frictionless (insulating) rod. Initially they are very far apart; the bead Q2 is glued in place and does not move. Both beads have mass 10g and carry charge 2uC. Q1 is set in motion at a velocity v= 10 m/s towards Q2.

A) How close does Q1 get to Q2 before reversing its direction of motion?

B) What is the maximum force exerted on charge Q1?


Homework Equations



This is kinda how the diagram that goes with it looks like:

<-------*-----------------------------------------*-------------------->


In which the first asterix is Q1 -->
and the second asterix is the fixed Q2


The Attempt at a Solution



I don't know where to start. Don't i need to know how far apart they are in order to find out how close Q1 will get? Ugh.
 
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Perhaps you could use the principle of conservation of energy: consider the initial total energy (kinetic + potential) and set that equal to the total energy when the relative velocity is zero. The "very far apart" initial condition may simplify this expression.
 

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