Solve Electrostatic Forces Homework: Tension & Charge

In summary, two 0.115-gram pith balls are suspended from the same point by threads 22.0 centimeters long. When given equal charges, the balls come to rest 15.0 centimeters apart and form an angle between them. The tension in each thread can be determined by drawing a free body diagram and solving for the electrostatic force using the equation Fe=(kq1q2)/d2. The magnitude of the charge on each ball can be found by considering the mass of the balls and neglecting the mass of the thread.
  • #1
drmjj55
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Homework Statement


Two 0.115-gram pith balls are suspended from the same point by threads 22.0 centimeters long. When the balls are given equal charges, the two strings form an angle between them, and the balls come to rest 15.0 centimeters apart. Neglect the mass of the thread.

What is the tension in each thread?
What is the magnitude of the charge on each ball?

Homework Equations


Fe=(kq1q2)/d2


The Attempt at a Solution


I drew a free body diagram, having the weight straight down, the tension at some angle, and the electrostatic force at some other angle. From this w=T+Fe The only problem is that I am having trouble finding q1 and q2.
 
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  • #2
Welcome to PF;
drmjj55 said:
I drew a free body diagram, having the weight straight down, the tension at some angle, and the electrostatic force at some other angle.
What other angle?

From this w=T+Fe The only problem is that I am having trouble finding q1 and q2.
Check the problem statement:
Two 0.115-gram pith balls are suspended from the same point by threads 22.0 centimeters long. When the balls are given equal charges, the two strings form an angle between them, and the balls come to rest 15.0 centimeters apart. Neglect the mass of the thread.
 

1. What are electrostatic forces?

Electrostatic forces are forces that arise from the interaction between electric charges. These forces can either attract or repel charges depending on their polarity.

2. How do I calculate tension in an electrostatic system?

Tension in an electrostatic system can be calculated using the equation T = kQq/r^2, where T is the tension, k is the Coulomb's constant, Q and q are the charges of the two objects, and r is the distance between them.

3. What is Coulomb's Law?

Coulomb's Law is a fundamental law in electrostatics that describes the relationship between two electric charges. It states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

4. How do I find the charge of an object in an electrostatic system?

The charge of an object in an electrostatic system can be calculated by rearranging Coulomb's Law to solve for q. The equation is q = r√(kT/Q), where q is the charge of the object, r is the distance between the objects, k is the Coulomb's constant, T is the tension, and Q is the charge of the other object.

5. How can I use electrostatic forces to solve real-world problems?

Electrostatic forces are used in a variety of real-world applications, such as in the design of electrical circuits, the operation of electronic devices, and the functioning of lightning rods. By understanding the principles of electrostatics and how to calculate forces and charges, scientists and engineers can create innovative solutions for various technological challenges.

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