Question

calcule a intensidade da forca elétrica de repulsao entre duas cargas puntiformes sendo Q1 = 8 10° menos 4 e Q2= 15 10° menos 9 que se encontra no vacuo por uma distancia de 3 mm,onde ko=9 10° 9 N m2/ C2​

Answer 1

$\text{Dados:}$

$q_1=8\times10^{-4}\ \text{C}$

$q_2=15\times10^{-9}\ \text{C}$

$d=3\ \text{mm}=3\times10^{-3}\ \text{m}$

$k_0\approx9\times10^9\ \mathrm{Nm^2C^{-2}}$

$\boxed{F=k_0\dfrac{q_1q_2}{d^2}}$

$\Longrightarrow F=9\times10^9\dfrac{\left(8\times10^{-4}\right)\left(15\times10^{-9}\right)}{\left(3\times10^{-3}\right)^2}$

$\Longrightarrow F=\dfrac{1080\times10^{-4}}{9\times10^{-6}}=120\times10^{2}\ \therefore\ \boxed{F=1.2\times10^4\ \text{N}}$