Two identical objects have charges from +6.0*10^-6 and -2.0*10^-6, respectively. When placed a distance d apart, their force of attraction is 2,0N. If the objects are touched together, then they moved to a distance of separation of 2d, what will be the new force between them?

Ans: I tried the finding the distance d and then finding the new force, but i am not getting the value, i even tried the inverse square law , i got the same answer but not the one required 0.17N.

If you touch them, the charge neutralizes, and divides, the new charge on each is 2E-6, so the product is 4E-12, as compared to the original 12E-12

or 1/3 the force due to charge.

distance doubling, makes the force 1/4

new force= 1/3*1/4 old force., or you can work it out new force

0.81

To solve this problem, you can use Coulomb's Law to calculate the force between the two charged objects. Coulomb's Law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is:

F = k * (|q1| * |q2|) / d^2

Where:
- F is the force between the two charges,
- k is the Coulomb's constant (k = 9.0 x 10^9 N m^2/C^2),
- |q1| and |q2| are the magnitudes of the charges of the two objects, and
- d is the distance between the objects.

Let's solve the problem step by step:

Step 1: Calculate the distance 'd' using the given information.
Since the force between the two objects is 2.0 N, we can rearrange the Coulomb's Law formula to solve for 'd':

d = sqrt(k * (|q1| * |q2|) / F)

Plugging in the values, we get:
d = sqrt((9.0 x 10^9 N m^2/C^2) * ((+6.0 x 10^-6 C) * (-2.0 x 10^-6 C)) / 2.0 N)

Simplifying further:
d = sqrt((9.0 x 10^9 N m^2/C^2) * (-12 x 10^-12 C^2) / 2.0 N)

d = sqrt(-108 x 10^-3 m^2)

Here is where we encounter a problem. The result under the square root is negative, meaning that the distance 'd' cannot be determined from the given information. This indicates that there must be an error in the given information or the problem statement itself.

Since we can't determine the value of 'd', we can't proceed to calculate the new force between the objects after they are touched together and separated to a distance of 2d. Therefore, it's not possible to determine the required new force of 0.17 N with the provided information.

I suggest double-checking the given values and the problem statement for any mistakes or missing information.