Trajectory of a proton as it moves between the plates

In summary, the homework statement is attempting to solve the problem of why a circular object has a centripetal acceleration, and why it changes direction when it enters the plate region.
  • #1
Cicicicici
15
0

Homework Statement


Screen Shot 2018-05-25 at 1.44.19 pm.png


Homework Equations


What makes the shape circular/ parabolic?
what determines the direction?

The Attempt at a Solution


Because the furthermost plate is positive, the proton would be repelled towards the screen, so i or iii. How do I know the shape?
 

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  • #2
Cicicicici said:
How do I know the shape?
What kind of acceleration generates circular motion? What about parabolic motion? Which do you have here?
 
  • #3
kuruman said:
What kind of acceleration generates circular motion? What about parabolic motion? Which do you have here?
Hi, is it because the proton is accelerating along the field lines not perpendicular to them? so it is a parabolic motion?
 
  • #4
You provided a valid argument for parabolic motion. To answer with certainty, you need to provide an argument for excluding circular motion. What is that argument?
 
  • #5
kuruman said:
You provided a valid argument for parabolic motion. To answer with certainty, you need to provide an argument for excluding circular motion. What is that argument?
ummmm... I'm not sure. Has it got something to do with the proton reaching terminal velocity before the plates?
 
  • #6
Cicicicici said:
ummmm... I'm not sure. Has it got something to do with the proton reaching terminal velocity before the plates?
Nope. That's there to indicate that the vertical component of the velocity is constant. What kind of acceleration does an object in a circular path have? What's the difference between that kind of acceleration and the kind you have here?
 
  • #7
kuruman said:
Nope. That's there to indicate that the vertical component of the velocity is constant. What kind of acceleration does an object in a circular path have? What's the difference between that kind of acceleration and the kind you have here?
Centripetal acceleration? And this one is just uniform?
 
  • #8
Correct on both accounts. Centripetal acceleration changes direction to stay perpendicular to the velocity. Here the direction of the acceleration is fixed in space and is perpendicualr to the velocity instantaneously only when the proton enters the plate region.
 
  • #9
kuruman said:
Correct on both accounts. Centripetal acceleration changes direction to stay perpendicular to the velocity. Here the direction of the acceleration is fixed in space and is perpendicualr to the velocity instantaneously only when the proton enters the plate region.
I am a bit confused - isn't the acceleration zero here? (because it is at terminal velocity?)
 
  • #10
How many different forces act on the proton?
 
  • #11
kuruman said:
How many different forces act on the proton?
gravity and repulsion from the positive plate?
 
  • #12
And some kind of air resistance otherwise the proton would not have reached terminal velocity before entering the plate area. The acceleration is zero before the proton enters the plate area. When it enters the plate area, the acceleration is no longer zero.
 
  • #13
kuruman said:
And some kind of air resistance otherwise the proton would not have reached terminal velocity before entering the plate area. The acceleration is zero before the proton enters the plate area. When it enters the plate area, the acceleration is no longer zero.
Ah! right. Thank you!
 

What is the trajectory of a proton as it moves between the plates?

The trajectory of a proton as it moves between the plates is a curved path. This is due to the electric force acting on the proton from the positively charged plate, causing it to accelerate towards the negatively charged plate.

How does the distance between the plates affect the trajectory of the proton?

The distance between the plates affects the trajectory of the proton by changing the strength of the electric field between the plates. A larger distance results in a weaker electric field, leading to a less curved trajectory for the proton.

What factors influence the speed of the proton as it moves between the plates?

The speed of the proton is influenced by the strength of the electric field, the distance between the plates, and the initial velocity of the proton. A stronger electric field and smaller distance between plates will result in a higher speed for the proton.

Is the trajectory of the proton affected by the charge of the plates?

Yes, the trajectory of the proton is affected by the charge of the plates. The direction and magnitude of the electric force acting on the proton is determined by the charge of the plates. A positively charged plate will attract the proton, while a negatively charged plate will repel it.

Can the trajectory of the proton be calculated using mathematical equations?

Yes, the trajectory of the proton can be calculated using mathematical equations based on the initial conditions and the laws of motion and electricity. These equations can predict the path of the proton and its speed at any given point between the plates.

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