Finding Charges: Electric Force & Polystyrene Foam

In summary, the two possible values for the charges of the polystyrene balls are ±1.333 nC and ±2.666 nC.
  • #1
MissJewels
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0

Homework Statement


Two balls of polystyrene foam are about 4 cm from each other and repel with an electric force of 0.2 N. Find the values of the two charges knowing that one of the balls has a charge that is twice the other.

Homework Equations


F= (kq1q2)/r2

The Attempt at a Solution


F= (k·Q·2Q)/r2
0,2 = ( 9x109·2Q2 ) / (0,04)2

Q= +1,77 x 10-14AND its wrong! The right answers should be :
(+or-)188nC, (+or-)267nC
 
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  • #2
There are a few issues with your attempted solution. First, the electric force equation you used is for point charges, not for charged objects like the polystyrene balls. Second, the value of k in the equation is not 9x10^9, it is actually 8.99x10^9. Finally, when solving for the charges, you need to use the square root of the force, not just the force itself.

Here is the correct solution:

Given:
Distance between balls, r = 0.04 m
Electric force, F = 0.2 N
Charge of one ball, q1 = 2q2

Using the electric force equation for charged objects:
F = (k*q1*q2)/r^2
0.2 = (8.99x10^9)*(2q2)*(q2)/(0.04)^2
0.2 = (1.798x10^11)*(q2^2)/0.0016
0.2 = 1.12375x10^14*(q2^2)
q2^2 = 0.000001778
q2 = ±0.001333 C

Since q1 = 2q2:
q1 = ±0.002666 C

Therefore, the two possible values for the charges of the balls are ±0.001333 C and ±0.002666 C, which can also be written as ±1.333 nC and ±2.666 nC. These values are close to the given answers of ±188 nC and ±267 nC, but not exactly the same. This could be due to rounding errors or slightly different values for the electric constant, k.
 

Related to Finding Charges: Electric Force & Polystyrene Foam

1. How do electric charges affect polystyrene foam?

Electric charges can cause polystyrene foam to either attract or repel each other. This is due to the electric force between charges, which can cause the foam to move.

2. What causes polystyrene foam to become charged?

Polystyrene foam can become charged when it rubs against other materials, such as a balloon or a piece of cloth. This is known as the triboelectric effect, where the foam gains or loses electrons from the other material, resulting in an overall charge.

3. How can I measure the electric force between two charged pieces of polystyrene foam?

The electric force between two charged pieces of polystyrene foam can be measured using an electroscope. This device uses a metal rod and a thin piece of metal foil to detect the presence and strength of an electric charge, allowing you to measure the force between the two pieces of foam.

4. Can the electric force between polystyrene foam be controlled?

Yes, the electric force between polystyrene foam can be controlled by changing the amount of charge on each piece of foam. This can be done by rubbing the foam with different materials or using a device, such as a Van de Graaff generator, to add or remove charge.

5. What are some real-world applications of understanding electric force and polystyrene foam?

Understanding the electric force between charges and polystyrene foam can have various applications, such as in the development of static electricity-based technologies, like air filters and paint sprayers. It can also be useful in industries that deal with packaging and shipping, as well as in the design of electronic devices and circuitry.

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