How can I represent electric forces on a system with 3 charged balls?

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Homework Help Overview

The discussion revolves around representing electric forces in a system consisting of three charged balls arranged on a cart. The original poster describes the setup and seeks guidance on how to illustrate the forces acting on the entire system, having already represented the forces on each individual ball.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces between pairs of charges and the total number of forces acting on the system. Questions arise about how to represent these forces on a coordinate system and the implications of force magnitudes when they are equal and in the same direction. There is also confusion regarding the relationship between tension, gravitational force, and electric force in the context of the system.

Discussion Status

The conversation is ongoing, with some participants offering insights into Newton's third law and the conservation of momentum. However, there is a lack of consensus on how to clearly represent the forces and their effects on the system, with one participant expressing difficulty in understanding the concepts being discussed.

Contextual Notes

Participants are navigating the complexities of internal forces and their impact on the acceleration of the system, while also grappling with the terminology and principles of physics involved in the problem.

jtm
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I have an illustration that look like this: - + + on top of a cart. The charges are balls and are very light, and have equal maginitude charge. The rods supporting and connecting them are made with an insulating material and are also light. The cart rests on a smooth table. How would I draw labeled arrows representing electric forces exerted on the WHOLE cart (a system with 3 charged balls)? I was able to do it for each ball.

Here's a better illustration:

(-) (+) (+)
|
------
o o
---------------------------------
The | should be in the middle of the middle ball.

The balls are equally spaced apart also.
 
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Three charges (call them A, B and C) are three pairs: AB, AC, BC. Each pair of charges produces a pair of equal forces. That' s a total of six different forces, so you need six arrows.
 
The questions before it made me map the attractions of each ball to the other 2 balls. Are you saying I make 1 x,y axis and just put all the arrows and mark them like q1 on q2 etc then the net force can determine the acceleration. Isn't that confusing? When the 2 force magnitudes are the same and in the same direction, does that mean its double the force? I always get confused with that. For example I have a ball on a rope hanging down and another ball is above it, both are the same charges, so the down force is Force of q1 on q2 and mg, would that mean the Tension = force of q1 on q2 + mg? or just mg since mg is bigger?
 
Think Newton's 3rd Law. Each pair produces a pair of equal magnitude forces, but in opposite directions. If all 3 balls are attached to the cart, then the cart will experience all six forces, three in one way, three the opposite, and all cancelling out.

Think Law of conservation of momentum: these are all internal forces; can an internal force accelerate a system?
 
i don't know the correct answer to your question, I'm sorry, I don't follow, I don't remember laws by names, I just know how to do them. Can you explain more clearly, I'm having a real hard time here :( Thanks!
 

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