Solving a Two-Charge System: Find Acceleration & Velocity

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SUMMARY

The discussion focuses on calculating the acceleration and velocity of a free-moving charge (q2) influenced by a fixed charge (q1) in a two-charge system. The user seeks equations for acceleration in terms of separation (d) and velocity in terms of time (t). The problem requires applying Coulomb's Law and Newton's second law of motion to derive the necessary equations. Additionally, the forum emphasizes the importance of showing work for homework-related queries.

PREREQUISITES
  • Coulomb's Law for electric force calculations
  • Newton's second law of motion for acceleration
  • Basic kinematics for velocity equations
  • Understanding of electric charge interactions
NEXT STEPS
  • Derive the acceleration equation for q2 using Coulomb's Law and Newton's second law
  • Calculate the velocity of q2 over time using kinematic equations
  • Explore the effects of varying separation (d) on acceleration
  • Investigate energy conservation in electric charge systems
USEFUL FOR

Physics students, educators, and anyone studying electrostatics and motion in electric fields will benefit from this discussion.

Aleale978
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Hey I need some help figuring out this problem
Diagram is attached below
Thanks

Two charges are arranged as shown below. Particle q1 is fixed in it's position but q2 is free to move. Assume the two particles start at rest with separation near zero. The mass of q2 is m.



a. Create an equation that will give the acceleration of q2 in terms of the separation, d.

b. Create an equation that will give the velocity of q2 in terms of time, t.
 

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I'm afraid I won't be able to help you until your attachment is approved by one of our mentors. However, note that also you must show some work before we can help you with homework problems; forum rules, I'm afraid.

So, what have you tried thus far?
 

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