Question

Duas partículas de cargas elétricas Q₁ = 4,0 × 10⁻¹⁶ C e q‚ = 6,0 × 10⁻¹⁶ C estão separadas no vácuo por uma distância de 3,0.10⁻⁹m. Sendo k = 9,0.10⁹ N.m²/C², a intensidade da força de interação entre elas, em newtons, é de: *
a) 1,2.10⁻⁵
b) 1,8.10⁻⁴
c) 2,0.10⁻⁴
d) 2,4.10⁻⁴

Answer 1

$\displaystyle \underline{\text{For{\c c}a el{\'e}trica}}: \\\\ \text F_\text e = \frac{\text k.|\text q_1|.| \text q_2|}{\text d^2}\\\\ \underline{ \text{temos}}:\\\\ \text k = 9.10^9 \ \text{N.m}^2/\text C^2 \\\\ \text q_1 = 4.10^{-16} \ \text C\\\\ \text q_2=6.10^{-16} \ \text C \\\\ \text d = 3.10^{-9} \ \text m \\\\ \underline{\text{substituindo}}: \\\\ \text F_\text e = \frac{9.10^9.4.10^{-16}.6.10^{-16}}{(3.10^{-9})^2} \\\\\\ \text F_\text e = \frac{9.4.6.10^{(-16-16+9)}}{9.10^{-18}}$

$\displaystyle \text F_\text e = 24.10^{-23+18} \\\\ \huge\boxed{\ \text F_\text e =2,4.10^{-4}\ \text N \ }\checkmark \\\\\\ \text{(letra d)}$