Uniform Electric Field Calculation: Proton and Electron Motion

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A uniform electric field of 678 N/C exists between two parallel plates, 4.02 cm apart, where a proton and an electron are released simultaneously from opposite plates. The key to solving the problem lies in understanding that the acceleration of each particle is determined by the electric field strength, their charge, and their mass. The proton, being significantly more massive than the electron, will accelerate more slowly, affecting the point at which they meet. While an initial assumption might suggest they meet at the midpoint, this is incorrect due to the differing accelerations. The solution requires calculating the distance based on the equations of motion under constant acceleration for both particles.
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Homework Statement



A uniform electric field of magnitude 678 N/C exists between two parallel plates that are 4.02 cm apart. A proton is released from the positive plate at the same instant that an electron is released from the negative plate. Determine the distance from the positive plate at which the two pass each other. (Ignore the electrical attraction between the proton and electron.)


Homework Equations


no relevant questions I can think of.


The Attempt at a Solution



Honestly I'm not even sure how to approach this question in terms of acceleration and velocity of these masses due to an electric field. I don't want somebody to do my homework for me, I just need some guidance of what equations to use and how to set them up.

Any help would be appreciated. Thanks!
 
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several ideas I can think of immediately are (ie. may not be completely reliable):
parallel plates -> uniform field -> constant acceleration while particles are moving. Force and field strength are related in a simple manner (check your text).. with a bit of luck they should meet at the midpoint between the plates(that's only a guess) It remains for you to work out an expression for the field strength as function of distance away from the plates (or would this be an overkill? nice to check anyway...)
 
the plates are pretty close and the field is uniform so the prof told us that the field strength would not weeken. He also mentioned that midway is not the correct answer...
 
Well here is a hint. The acceleration of a particle in an electric field is proportional to the strength of the field and charge (q) of the particle; and inversely proportional to the mass of the particle. I basically gave you a formula in words.
 
ah yes, forgot about the difference in mass, my apology
 
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