1. **State the problem:** Calculate the electrostatic force between a +5.0 C charge and a +9.0 C charge separated by 4 m using Coulomb's Law.
2. **Formula:** Coulomb's Law is given by
$$F_{elec} = k \cdot \frac{q_1 \cdot q_2}{d^2}$$
where
- $k = 9 \times 10^9$ N·m²/C² (Coulomb's constant),
- $q_1 = 5.0$ C,
- $q_2 = 9.0$ C,
- $d = 4$ m.
3. **Substitute the values:**
$$F_{elec} = 9 \times 10^9 \cdot \frac{5.0 \times 9.0}{4^2}$$
4. **Calculate the denominator:**
$$4^2 = 16$$
5. **Calculate the numerator:**
$$5.0 \times 9.0 = 45$$
6. **Rewrite the expression:**
$$F_{elec} = 9 \times 10^9 \cdot \frac{45}{16}$$
7. **Simplify the fraction:**
$$\frac{45}{16} = 2.8125$$
8. **Calculate the force:**
$$F_{elec} = 9 \times 10^9 \times 2.8125 = 2.53125 \times 10^{10}$$
9. **Final answer:**
$$\boxed{F_{elec} = 2.53 \times 10^{10} \text{ N}}$$
This force is repulsive since both charges are positive.
Coulombs Force 6A1245
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