What is the Charge on Each Balloon?

In summary, two balloons with a mass of 4g each are rubbed against wool and then suspended by a thread. The thread encloses an angle of 60 degrees and the distance between the balloons' centers is 42cm. Using the formula F(E)=(k*Q1Q2)/r^2, where Q1=Q2, the charge on each balloon is calculated to be 2.22x10^-13. However, comparing the perpendicular components to the thread and using a sketch for reference, the correct charge is determined to be 6.67x10^-13.
  • #1
Tunamy
2
0

Homework Statement


A typical inflated balloon has a mass of 4g. Two balloons are rubbed against wool, touched together and then suspended by someone holding the thread at its centre. It is found that the ballooons rest so that trheir centres are 42cm apart and that the thread encloses an angle of 60 degrees. Calculate the charge on each balloon.

Homework Equations


F(E)=(k*Q1Q2)/r^2

The Attempt at a Solution


I first did tan30 *9.8*0.004 (Fgravity) and got 0.226N and then I used F(E)=(k*Q1Q2)/r^2 and since Q1=Q2, I got 2.22x10^-13. But apparently the answer says 6.67x10^-13?
 
Physics news on Phys.org
  • #2
Do you have a diagram ?
 
  • #3
The question did not provide one but I think the two ballons are hanging down at rest and their strings shuld form a 60 degree angle from the place where they areheld
 
  • #4
Why the tangent?
Best to compare the components perpendicular to the thread.
That eliminates the tension in the thread.
Still a good idea to start with a sketch though.
Few of us can go without such.
 

1. What is electrostatic calculation?

Electrostatic calculation is a method used to calculate the electric field and potential distribution of a system of charged particles or objects. It involves using mathematical equations and computer simulations to analyze the distribution of electric charges and their interactions.

2. How is electrostatic calculation used in science?

Electrostatic calculation is used in a variety of scientific fields, such as physics, chemistry, and engineering, to study the behavior of electrically charged particles and objects. It is particularly useful in understanding the properties of materials and their interactions with electric fields.

3. What are the key principles involved in electrostatic calculation?

The key principles involved in electrostatic calculation include Coulomb's Law, which describes the force between two charged particles, and Gauss's Law, which relates the electric field to the distribution of electric charges. Other important principles include electric potential, capacitance, and energy conservation.

4. What are some applications of electrostatic calculation?

Electrostatic calculation has numerous applications in both research and practical settings. For example, it is used in the design of electronic devices, such as computer chips and capacitors, as well as in the study of atmospheric electricity, such as lightning and thunderstorms. It is also used in medical imaging techniques, such as electrocardiograms and electroencephalograms.

5. What are some challenges in performing electrostatic calculation?

One of the main challenges in performing electrostatic calculation is accurately modeling complex systems with multiple charged particles and objects. This often requires sophisticated computer simulations and advanced mathematical techniques. Additionally, the accuracy of the calculations can be affected by external factors, such as the presence of other fields or the movement of particles.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
750
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
3K
Back
Top