Traveling proton and electric field problem

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SUMMARY

The discussion focuses on calculating the electric field required to stop a proton traveling at 4.20×106 m/s over a distance of 3.40 cm. The calculated magnitude of the electric field is -2.7×106 N/C, indicating that the field must attract the proton. The direction of the electric field is determined to be 180 degrees (due left) based on a counterclockwise reference from the left direction. For an electron, the required electric field magnitude is 14878.75 N/C, with the direction also being due left.

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  • Understanding of kinematic equations, specifically vf2 = v02 + 2a(Δx)
  • Knowledge of electric field calculations, including E = F/q
  • Familiarity with the concept of force direction in relation to charge polarity
  • Ability to interpret vector directions using unconventional coordinate systems
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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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