Calculating Charge on Two Pith Balls Using Coulomb's Law | Homework Help

In summary, the charge on two pith balls can be calculated by knowing their masses and observing the angle of separation between them. Using the equation F = kqQ / d^2 and considering the equilibrium of forces on one of the balls, it is possible to calculate the charge if both balls are equally charged and suspended by strings that are 1.0 m long. Drawing a free body diagram and solving for the electric force will give the value of the charge.
  • #1
Hannahj1
18
2

Homework Statement


The charge on two pith balls can be calculated by knowing their masses and observing the angle of separation between the balls.
If both balls are equally charged and they are suspended by strings that are 1.0 m long, calculate that charge.

Homework Equations


F = k q Q / d^2

The Attempt at a Solution


fnet=kqQ/d^2
ma=kq^2/d^2 (both q's are the same)
Im a bit stuck here because i don't know how to find the acceleration. Thank you!
 

Attachments

  • Screen Shot 2015-08-18 at 11.06.01 PM.png
    Screen Shot 2015-08-18 at 11.06.01 PM.png
    2.6 KB · Views: 493
Physics news on Phys.org
  • #2
Hannahj1 said:
Im a bit stuck here because i don't know how to find the acceleration.
The balls remain at rest.
 
  • #3
Why acceleration?

Why don't you try equilibrium of forces?
 
  • #4
Have you drawn a free body diagram on either of the balls, or do you feel you have advanced beyond the point where you need to use FBDs?

Chet
 
  • #5
Hannahj1 said:
fnet=kqQ/d^2

This is not Fnet, because the electric force is not the only one acting on each ball. Your first step should be to choose one ball (either one will work, so you can toss a coin or something), then identify all the forces that act on it and draw a free-body diagram for it as Chet asked for.
 

1. What is Coulomb's law?

Coulomb's law is a physical law that describes the force of attraction or repulsion between two charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

2. Who discovered Coulomb's law?

Coulomb's law was discovered by French physicist Charles-Augustin de Coulomb in 1785. He conducted experiments using charged spheres to determine the relationship between electrical force and distance.

3. What is the equation for Coulomb's law?

The equation for Coulomb's law is F = k * (q1 * q2) / r^2, where F is the force, k is the Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them.

4. What is the unit of measurement for electric charge?

The unit of measurement for electric charge is the Coulomb (C), named after Charles-Augustin de Coulomb. One Coulomb is equal to the charge of approximately 6.24 x 10^18 electrons.

5. How is Coulomb's law related to Newton's law of gravitation?

Coulomb's law and Newton's law of gravitation are both inverse-square laws, meaning that the force between two particles is inversely proportional to the square of the distance between them. However, Coulomb's law describes the force between charged particles, while Newton's law of gravitation describes the force between objects with mass.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
7K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
12
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
805
  • DIY Projects
Replies
2
Views
1K
Back
Top