Calculating Charge of Insulating Balls

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Homework Help Overview

The problem involves two equally charged insulating balls that are suspended and repel each other, creating a geometric configuration that needs to be analyzed. The subject area includes concepts from electrostatics and mechanics, particularly relating to forces and angles in a system of charged objects.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the angles of the strings and the forces acting on the balls, including tension and gravitational force. There is also a focus on the geometric arrangement of the balls and the implications of their separation distance.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem, including the geometry and forces involved. Some guidance has been offered regarding the relationships between the forces and angles, but there is no explicit consensus on the interpretation of the setup.

Contextual Notes

Participants note the symmetry of the problem and the potential confusion regarding the configuration of the strings and balls, indicating a need for clarity on the setup.

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Two equally charged insulating balls each weigh 0.1 g and hang from a common point by identical threads 30 cm long. The balls repel each other so that the separation between their centers is 8.0 cm. What is the magnitude of the charge on each ball?
 
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Find the angle that the string makes with the horizontal. Then you know that cos(theta)*Ft (tension in string) will equal the force exerted on balls by each other. You also know that sin(theta)*Ft will equal the weight of the ball.
 
There are two strings attached to the same point. At the end of each string is a charged ball. The balls repel each other. This forms a triangle with two legs 30 cm and the horizontal leg 8 cm long. I am a little confused about your explanation, because it makes it seem like there is only one string.
 
Note the symmetry of the problem.
 

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