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

AI Thread Summary
To represent the electric forces on a system with three charged balls, one must consider the interactions between each pair of charges, resulting in six forces due to the three pairs (AB, AC, BC). Each pair generates equal and opposite forces, which means that while the forces act on the balls, they ultimately cancel each other out when considering the entire system, including the cart. The net effect on the cart is that it experiences no net force from the internal electric interactions among the balls. When analyzing forces like tension and gravitational force, it's important to recognize that the total tension in a system can be influenced by both the electric forces and gravitational forces acting on the balls. Understanding these concepts requires clarity on Newton's laws and the principle of conservation of momentum, which can be complex for some.
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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