Proton moving towards center of ring

In summary, the conversation discusses the motion of a proton along the main axis of a uniformly charged thin ring. The charge density and radius of the ring are given, and the initial position and velocity of the proton are stated. The conversation also touches on the concept of potential energy and kinetic energy, as well as the law of conservation of energy. The goal is to determine the initial speed of the proton in order for it to cross the plane of the ring.
  • #1
Zarrey
27
0

Homework Statement


A proton is moving along the main axis of a uniformly charged thin ring. The charge density on the ring is 5.0 nC / cm and the ring radius is 1.0 cm. Initially the proton is 2.0 cm (along the axis ) from the center of the ring with the velocity towards the center of the ring. What initial speed should the proton have such it will cross the plane of the ring?im a little lost on this one. any help would be wonderful.
 
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  • #2
Consider PE and KE.
 
  • #3
The proton needs to increase its KE to a point greater than its PE to move correct? so would i solve for the potential energy of the proton and the ring?
 
  • #4
Zarrey said:
The proton needs to increase its KE to a point greater than its PE to move correct?
Doesn't sound right. It already has some PE. It needs enough KE to do what?
 
  • #5
the proton needs KE in order to move. but what about the charge density? how does that play into KE when it is closer to the center of the ring? that is what i think i am confused about?
 
  • #6
It doesn't need much KE merely to move. What else does it need KE for? What is happening to its PE as it gets closer? What conservation law can you apply?
 
  • #7
the law of conservation of energy?

as it moves closer the PE will decrease and the KE will increase.
 
  • #8
Zarrey said:
the law of conservation of energy?
Yes.
as it moves closer the PE will decrease and the KE will increase.
Why will the PE decrease?
 

Related to Proton moving towards center of ring

1. How does the proton move towards the center of the ring?

The proton moves towards the center of the ring due to the presence of a magnetic field. This magnetic field exerts a force on the charged proton, causing it to accelerate towards the center of the ring.

2. What is the significance of the proton moving towards the center of the ring?

The movement of the proton towards the center of the ring is important in experiments such as particle accelerators, where the proton's speed and direction can be controlled and manipulated for various scientific purposes.

3. What factors affect the speed of the proton towards the center of the ring?

The strength of the magnetic field, the charge of the proton, and the radius of the ring all play a role in determining the speed of the proton towards the center of the ring. Additionally, any external forces acting on the proton, such as friction, can also affect its speed.

4. How is the direction of the proton's movement determined towards the center of the ring?

The direction of the proton's movement towards the center of the ring is determined by the right-hand rule. This rule states that if you point your right thumb in the direction of the magnetic field, and your fingers in the direction of the proton's velocity, then the direction of the force on the proton will be perpendicular to both your thumb and fingers, towards the center of the ring.

5. Can the proton move in a perfect circular path towards the center of the ring?

No, the proton's path towards the center of the ring will be slightly elliptical due to the presence of external forces and imperfections in the magnetic field. However, with precise control and adjustments, the proton's path can be made very close to circular.

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