Physics - Determine Pith Ball Charges

In summary, two pith balls, each with a mass of 1.5g and equal charge, are suspended by a thread and brought close to each other until they reach equilibrium. They are separated by 2.6cm and the thread makes a 20 degree angle with the vertical. Using the equation F = (kQ1Q2)/(r^2), the charge on each pith ball can be calculated by setting the sum of the vertical and horizontal forces to zero.
  • #1
babelii
2
0

Homework Statement


Two pith balls equally charged and each with mass of 1.5g. While one ball is suspended by a thread, the other is brought close to it and a state of equilibrium is reached. In that situation, the two balls are separated by 2.6cm and the thread is attached to the suspended ball makes an angle of 20deg with the vertical. Calculate the charge on each of the pith balls.

m = 1.5*10^-3kg
d = 0.026m


Homework Equations


F = (kQ1Q2)/(r2)


The Attempt at a Solution


I tried finding the force by the work done formula since we have an angle we could include, but i do not get any further than that.
 
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  • #2
I don't think you can get it that way because you have no means of calculating the work done by the hand pushing the stationary ball.
Use forces. Begin with a diagram of the three forces on the suspended ball when equilibrium is reached. Then write that the sum of the vertical forces is zero and the sum of the horizontal forces is zero (because F=ma and there is no acceleration).
 

1. How do you determine the charge of a pith ball?

The charge of a pith ball can be determined by using a device called an electroscope. The pith ball is attached to the electroscope and is then brought into contact with a known charged object. The electroscope will then either repel or attract the pith ball, indicating the charge of the pith ball.

2. What is the charge of a pith ball made of?

A pith ball is typically made of a lightweight and non-conductive material, such as a plant pith or styrofoam. These materials do not hold a charge on their own, but can easily be charged through contact with other charged objects.

3. How does the charge of a pith ball affect its behavior?

The charge of a pith ball determines its behavior when brought into contact with other charged objects. Like charges will repel each other, while opposite charges will attract each other. This is due to the fundamental principle of electrostatics known as Coulomb's Law.

4. Can the charge of a pith ball be changed?

Yes, the charge of a pith ball can be changed through contact with other charged objects. If a pith ball with a positive charge comes into contact with a negatively charged object, some of the negative charge will be transferred to the pith ball, resulting in a change in its overall charge.

5. How is the charge of a pith ball related to its mass?

The charge of a pith ball is not directly related to its mass. However, the mass of the pith ball can affect its behavior when brought into contact with other charged objects. A lighter pith ball will be more easily influenced by the electric force compared to a heavier pith ball.

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