Electric Potential Energy Problem. Intuition needed

AI Thread Summary
The discussion revolves around a physics problem involving three identical negatively charged particles positioned in a straight line. The key question is why particle B, located between particles A and C, does not remain stationary despite being equidistant from both. Participants argue that particle B should have a final speed of zero due to the symmetrical forces acting on it, but it is suggested that it will actually move. The conversation also touches on calculating the total potential energy of the system to determine the maximum velocities of the particles. The need for clarity on the direction of particle B's movement and the expected speed is emphasized.
FerPhys
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There's this problem that was given in my physics class..
"Three identical, negatively charged particles are situated at rest in a straight line, as shown below. All three are released simultaneously, and are free to move. Find the maximum velocities attained by particles A, B, and C. They have have a mass of 1.70 grams and a charge of -700x10-6C."
The picture just has particles A, B , and C horizontal to one another with a distance of 2cm from A to B and 2 cm from B to C. Making the distance from A to C 4cm.
I hope you guys can imagine the picture well enough its not too bad.
Anyways, you solve for the total potential energy of the system and solve for the final velocity. I expected particle B, however, to have a final speed of zero, since it wouldn't move at all since it has an negatively charged particle to its right and left at the same distance that are identical. Apparently, that is wrong. Why does particle B move when it is EXACTLY in the middle of the other two? Also, in what direction would it move?
Thanks a bunch! This question is driving me nuts.
 
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FerPhys said:
There's this problem that was given in my physics class..
"Three identical, negatively charged particles are situated at rest in a straight line, as shown below. All three are released simultaneously, and are free to move. Find the maximum velocities attained by particles A, B, and C. They have have a mass of 1.70 grams and a charge of -700x10-6C."
The picture just has particles A, B , and C horizontal to one another with a distance of 2cm from A to B and 2 cm from B to C. Making the distance from A to C 4cm.
I hope you guys can imagine the picture well enough its not too bad.
Anyways, you solve for the total potential energy of the system and solve for the final velocity. I expected particle B, however, to have a final speed of zero, since it wouldn't move at all since it has an negatively charged particle to its right and left at the same distance that are identical. Apparently, that is wrong. Why does particle B move when it is EXACTLY in the middle of the other two? Also, in what direction would it move?
Thanks a bunch! This question is driving me nuts.
Are you sure, there's nothing more to the question?
 
FerPhys said:
I expected particle B, however, to have a final speed of zero, since it wouldn't move at all since it has an negatively charged particle to its right and left at the same distance that are identical. Apparently, that is wrong.
I expect idem. So who claims it's wrong ?
 
Apparently B would have a speed the same as the particle that accelerates to the right which is also the speed of the particle that accelerates to the left.
And there's nothing more to the question that's it.
 
Well, given the 2 cm distances I wonder what the value of that speed is according to the "apparent" answer ?
 
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