Two charged particles moving towards each other

In summary, two protons with initial speeds of 1.5 x 10^6 m/s are moving directly towards each other. The question asks for the distance of closest approach between the two protons. While one proton is usually fixed in similar problems, both are moving in this case. It is possible to use the law of conservation of energy, with the total kinetic energy being converted into potential energy when the protons stop at the same time. This may seem unconventional, but it is correct.
  • #1
Nivlac2425
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Homework Statement


Two protons are moving directly towards each other. When they are very far apart, their initial speeds are 1.5 x 10^6 m/s. What is the distance of closest approach?


Homework Equations





The Attempt at a Solution


I know how to do this problem when one of the charges are fixed by using the law of conservation of energy. But in this problem, they are both moving towards each other, so is it possible to still use energy? In what manner?

Thanks everyone for helping out! =)
 
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  • #2
If they are equal mass then they will both stop at the same time right?

So won't the total kinetic energy then be bound into potential energy between the two particles?
 
  • #3
That's right, I see now. I was thinking of it in a somewhat too traditional way, but now I get it. Thanks very much! For this and my other question too!

=)
 

FAQ: Two charged particles moving towards each other

What is the force between two charged particles moving towards each other?

The force between two charged particles moving towards each other is known as the electrostatic force. This force is attractive if the particles have opposite charges and repulsive if they have the same charge. The magnitude of the force is determined by the charges of the particles and the distance between them, according to Coulomb's Law.

How do the velocities of the charged particles affect the force between them?

The velocities of the charged particles do not directly affect the force between them. However, the force does affect the acceleration of the particles, which in turn affects their velocities. As the particles get closer, the force increases and the particles accelerate towards each other at a faster rate.

Can the force between two charged particles moving towards each other change over time?

Yes, the force between two charged particles can change over time. As the particles move closer or further apart, the distance between them changes, which in turn affects the force between them. Additionally, the charges of the particles can change due to external factors, which would also affect the force between them.

How do the masses of the charged particles impact the force between them?

The masses of the charged particles do not directly affect the force between them. However, the acceleration of the particles, and therefore their velocities, will be affected by their masses. This can have an indirect effect on the force between them as their velocities affect how quickly they approach each other.

What happens when two charged particles with different charges and masses move towards each other?

When two charged particles with different charges and masses move towards each other, the force between them will be attractive. The particle with the larger charge will experience a smaller acceleration compared to the particle with the smaller charge, but both particles will move towards each other and eventually collide if there are no external forces acting on them.

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