Proton moving towards center of ring

AI Thread Summary
A proton is moving towards the center of a uniformly charged thin ring, with a charge density of 5.0 nC/cm and a radius of 1.0 cm. The discussion focuses on determining the initial speed required for the proton to cross the plane of the ring, considering the relationship between potential energy (PE) and kinetic energy (KE). As the proton approaches the ring, its potential energy decreases while its kinetic energy increases, adhering to the law of conservation of energy. The charge density of the ring affects the electric potential experienced by the proton, which is crucial for calculating the necessary kinetic energy to overcome the potential energy barrier. Understanding these energy transformations is key to solving the problem effectively.
Zarrey
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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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Consider PE and KE.
 
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?
 
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?
 
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?
 
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?
 
the law of conservation of energy?

as it moves closer the PE will decrease and the KE will increase.
 
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?
 

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