Final answer:
To solve this problem, we can use Coulomb's Law to calculate the new force between two charged smoke particles when they are moved 1/(2.00x10^0) as far apart.
Step-by-step explanation:
To solve this problem, we 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. Let's calculate the new force:
First, we need to find the initial distance between the particles. To do this, we set up the equation F = k*q1*q2/d^2, where F is the initial force (6.400x10^-5 N), k is the proportionality constant, q1 and q2 are the charges of the particles, and d is the initial distance. Rearranging the equation, we have d^2 = k*q1*q2/F. Substitute the given values into the equation.
Next, we calculate the new distance by dividing the initial distance by (1/2.00x10^0). Calculate 1/(2.00x10^0) and divide the initial distance by this value.
Lastly, we use the new distance to calculate the new force by substituting the new values into the Coulomb's Law equation F = k*q1*q2/d^2.
The new force between the particles when they are moved 1/(2.00x10^0) as far apart can be calculated using the steps described above. Remember to use the correct values for the charges and distance to obtain an accurate result.