Traveling proton and electric field problem

Click For Summary
A proton traveling at 4.20×10^6 m/s needs to be brought to rest over 3.40 cm, requiring an electric field of -2.7E6 N/C directed to the left, which corresponds to 180 degrees in standard coordinates. The time taken for the proton to stop is calculated to be 1.62E-8 seconds. For an electron, the required electric field magnitude is 14878.75 N/C, but the direction must also be considered as opposite to that of the proton due to its negative charge. The discussion emphasizes the importance of visualizing the problem with a diagram to clarify the direction of forces and fields. Understanding the unique coordinate convention used in the problem is crucial for accurate direction determination.
kirby2
Messages
42
Reaction score
0
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?
 
Physics news on Phys.org
Looks good except for the direction of the E field for the case of the electron. (The electron has a negative charge.)
 
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.
 
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.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
3
Views
969
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 33 ·
2
Replies
33
Views
7K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
11
Views
1K