Finding the angle from two charges repelling each other.

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Homework Help Overview

The problem involves two charged spheres that repel each other while suspended from threads, and the goal is to determine the angle formed by the threads due to this repulsion. The context includes concepts from electrostatics and forces acting on the spheres.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the spheres, including electric force, tension, and gravitational force. There are inquiries about the equilibrium conditions and the directions of these forces.

Discussion Status

The discussion is active with participants exploring different forces involved and questioning how to represent them in a free body diagram. Some guidance has been offered regarding the need to consider all forces acting on the spheres.

Contextual Notes

There is a mention of a missing figure that is essential for visualizing the problem setup. Participants express confusion regarding the calculation of tension without velocity and the overall equilibrium of forces.

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Homework Statement


The figure shows two 5.0 g spheres suspended from 1.0-m-long threads. The spheres repel each other after being charged to +91 nC. What is the angle θ ?


Homework Equations



I was thinking momentum and/or kinetic energy equations.
k = 1/2 mv^2
p = mv
F = ma

The Attempt at a Solution


Answer is: 4.1 degrees
I am not sure how to go about this problem other than from the equations I have already given.
 
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Where's the figure?
 
Sorry. I just attached it to a file here, so maybe you can see it now.
 

Attachments

What forces are acting on the spheres? Which direction must the resultant force on each sphere point in equilibrium?
 
Well, there is the electric force. F = qE = Kq_1q_2/r^2.
In equilibrium, they must be pointing in opposite directions, right?
 
What about the tension force from the thread?
 
So there is the electric force and the tension force. So Ftotal = T plus qE, right?
I am unsure of how to calculate the tension with no velocity. So, still a little confused.
 
There's also the gravitational force, i.e. the weight. Draw a free body diagram with all of these forces with their proper directions. The tension points along the string inward. That means that the sum of the weight and the electrostatic force must point along the string but outward in equilibrium.
 

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