3. I have two identical dust particles. They are spheres with diameters of 0.0001 meter (about the same as a hair). They have the same density as water so they each have a mass of 10-12 kg. If each dust particle goes through a discharge so that 2.40 „e 10-10 C of electrons stick on each of them, what is the force between the two dust particles when they are 0.001 meters apart? If the force is pushing them apart, show it as a positive number and if it is attracting them together, show it as a negative number. Explain your response.
Isn't this Coulomb's Law? You have q1;q2, d .
To calculate the force between two charged particles, you can use Coulomb's law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Coulomb's law can be expressed as:
F = k * (q1 * q2) / r^2
Here,
F is the force between the two particles,
k is the electrostatic constant (9 x 10^9 Nm^2/C^2),
q1 and q2 are the charges of the particles, and
r is the distance between the particles.
In this case, each dust particle accumulates a charge of 2.40 x 10^-10 C of electrons. Since electrons are negatively charged, we can consider it as a negative charge.
Now, let's calculate the force between the two dust particles when they are 0.001 meters apart.
Plugging the values into the formula, we have:
F = (9 x 10^9 Nm^2/C^2) * ((-2.40 x 10^-10 C) * (-2.40 x 10^-10 C)) / (0.001)^2
Calculating this expression gives us the force between the particles. If the force is positive, it means they are pushing each other apart, and if the force is negative, it means they are attracting each other.
Now, you can calculate the force using a calculator.