Traveling proton and electric field problem

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Homework Help Overview

The problem involves a proton traveling horizontally in an electric field, requiring calculations of the electric field's magnitude and direction to bring the proton to rest over a specified distance. Additionally, the problem extends to similar calculations for an electron under the same conditions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of kinematic equations to find acceleration and electric field strength. There are questions about the interpretation of directional terms in the problem, particularly regarding the "counterclockwise from the left direction" phrasing.

Discussion Status

Some participants have provided feedback on the original poster's attempts, particularly regarding the direction of the electric field for the electron. There is an emphasis on the importance of visualizing the problem through diagrams to clarify the direction of forces and fields.

Contextual Notes

Participants note the unconventional coordinate system referenced in the problem, which may lead to confusion in determining angles for the electric field direction.

kirby2
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A proton is traveling horizontally to the right at 4.20×106 m/s.

Find (a)the magnitude and (b) direction (counterclockwise from the left direction) of the weakest electric field that can bring the proton uniformly to rest over a distance of 3.40 cm.

Part C: How much time does it take the proton to stop after entering the field?

What minimum field ((Part D)magnitude and (Part E)direction) would be needed to stop an electron under the conditions of part (a)?

ATTEMPT:

PART A: i used two formulas. vf^2=V0^+2a(deltaX) and E=F/q. i solved the first one for a and plugged it into the second one getting -2.7E6 N/C. i put a negative sign because the field must attract the proton. but I'm not sure if this is right.

PART B: I am not sure what the question means by "counterclockwise from the left direction" but i think the direction is due left. which would normally be 180 degrees.

PART C: using the equation vf=v0+at i plugged in my values found above and got t= 1.62E-8 seconds.

PART D: i used the same method in D except i changed the mass to the mass of an electron. i got 14878.75 N/C

PART E: same for PART B

are these right?
 
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Looks good except for the direction of the E field for the case of the electron. (The electron has a negative charge.)
 
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All uncertainties of negative signs are removed by drawing a picture. Draw the diagram with the x axis, show the proton moving to the right (in the + x direction). Now ask the question, what direction should the force be to stop the proton? That will also give the direction of the electric field, and then the sign will be obvious. This diagram should be drawn before starting on any formulas.
 
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PART B: I am not sure what the question means by "counterclockwise from the left direction" but i think the direction is due left. which would normally be 180 degrees.

@kirby2 Counterclockwise from the left means start facing due left, and measure all vector directions relative to this reference direction (with positive angles being rotations CCW from this direction). So if the electric field needs to be due left, it would be at an angle of 0 degrees, according to this coordinate convention. It's not a usual coordinate convention, which would measure things CCW from +x (right) or from +y (up). But it does seem to be what the problem is calling for here.
 

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