Help finding distance d for particle to travel

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The discussion revolves around calculating the distance a charged particle travels in a uniform electric field before being stopped. The particle has a known charge, mass, and kinetic energy, allowing for the determination of its initial velocity and time of flight using the equations of motion. The user successfully calculated the time it takes for the particle to be stopped but sought clarification on how to compute the distance traveled during this time. Ultimately, the user found the answer independently and expressed regret for not being able to delete the post. The conversation highlights the application of physics principles to solve problems involving charged particles in electric fields.
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Homework Statement


a beam of charged particles is emitted from a very small opening called an "orifice" from the source. Above the source, a set of parallel plates is used to create a uniform electric field E. The distance between the two plates is D = 20 cm. The charged particles enter the electric field with the same kinetic energy Ek = 7.84e-18 J through a small hole (or "pin hole") at the center of the lower parallel plane. The particles are identical and do not interact with each other. The motion of the particles is along the electric field lines. You can ignore gravity.

1. The charge of the particles is q=-0.0004 C. If the electric field is used to prevent the particles from hitting the upper parallel plane, then the direction of the electric field should be ___.

2. If the magnitude of the applied electric field is |E|=4.41×10-13 N/C and the mass of the particles is m = 3×10−18 kg, then what is the time t for one particle to be stopped by the electric field after it enters the area? (We call it "time of flight", technically.)

3. What is the distance d for one particle to travel between the plates before it is stopped by the electric field? (We call this "penetration depth", technically.)

Homework Equations


qE=change in momentum/time
initial momentum=change in momentum=mv

The Attempt at a Solution


i have answers to both #1 and #2 i just need to know how to do #3. reason i included them is if u need answers to them to calculate #3.

1.up
2.using kinetic energy given in problem i got velocity=2.29. then i used qE=change in momentum/time to get answer of 3.90×10^-2 sec. (this is correct i checked).

i just need #3 to find distance d.
 
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You have a particle with a known initial velocity subject to a known constant force for a known time. How do you find out how far it goes? (I didn't do the calculation, so I'm assuming this is not relativistic.)
 
sorry just got the answer a while ago. cnt delete this post :(
 
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