Question

For this part, we will be adjusting the DISTANCE ONLY.
Set charge 1 for -4 µC
Set charge 2 for 8 µC
Given the charge values and the distances, determine the electrostatic force between the charged particles and if they are attracted, repelled, or neither. (**Remember, like charges repel and opposite charges attract)

Column A
1.
Trial 1: Force =:
Trial 1: Force =
2.
Trial 2: Force =:
Trial 2: Force =
3.
Trial 3: Force =:
Trial 3: Force =
4.
Trial 4: Force =:
Trial 4: Force =
5.
Trial 1: Are the charged particles attracted, repelled, or neither?:
Trial 1: Are the charged particles attracted, repelled, or neither?
6.
Trial 2: Are the charged particles attracted, repelled, or neither?:
Trial 2: Are the charged particles attracted, repelled, or neither?
7.
Trial 3: Are the charged particles attracted, repelled, or neither?:
Trial 3: Are the charged particles attracted, repelled, or neither?
8.
Trial 4: Are the charged particles attracted, repelled, or neither?:
Trial 4: Are the charged particles attracted, repelled, or neither?
Column B
a.719.004 N
b.79.889 N
c.179.751 N
d.Neither
e.89.876 N
f.Repelled
g.269.627 N
h.Attracted
i.0 N
j.44.938 N
k.359.502 N

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Answer 1

To calculate the electrostatic force between two point charges, we can use Coulomb's Law, which is given by the formula:

\[
F = k \frac{|q_1 \cdot q_2|}{r^2}
\]

where:
- \( F \) is the electrostatic force between the charges,
- \( k \) is Coulomb's constant (\( k \approx 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)),
- \( q_1 \) and \( q_2 \) are the amounts of the charges, and
- \( r \) is the distance between the charges.

In this case, you have \( q_1 = -4 \, \mu\text{C} = -4 \times 10^{-6} \, \text{C} \) and \( q_2 = 8 \, \mu\text{C} = 8 \times 10^{-6} \, \text{C} \).

The nature of the force (attracted or repelled) will depend on the signs of the charges:
- Opposite charges (one positive and one negative) attract each other.
- Like charges (both positive or both negative) repel each other.

### Trial Results

1. **Trial 1**
- Assume distance \( r_1 = d_1 \) meters.
- Calculate:
\[
F_1 = k \frac{|q_1 \cdot q_2|}{r_1^2}
\]
- Nature: Attracted (since one charge is negative and the other is positive).

2. **Trial 2**
- Assume distance \( r_2 = d_2 \) meters.
- Calculate:
\[
F_2 = k \frac{|q_1 \cdot q_2|}{r_2^2}
\]
- Nature: Attracted.

3. **Trial 3**
- Assume distance \( r_3 = d_3 \) meters.
- Calculate:
\[
F_3 = k \frac{|q_1 \cdot q_2|}{r_3^2}
\]
- Nature: Attracted.

4. **Trial 4**
- Assume distance \( r_4 = d_4 \) meters.
- Calculate:
\[
F_4 = k \frac{|q_1 \cdot q_2|}{r_4^2}
\]
- Nature: Attracted.

### Results Matching
You need to provide the distances for each trial to complete the force calculations. Once you have those distances, you can plug them into the Coulomb's Law formula to compute the forces and fill in Column A with the appropriate answers from Column B based on the calculated forces.

### Conclusion on Attraction/Repulsion
Since one charge is negative and the other is positive, all trials will have attracted particles regardless of the distance provided.

Please provide the distances for each trial in order to calculate the forces accurately.