Question

URGENTE
Dois prótons de uma molécula de hidrogênio distam cerca de 1,0 x 10^-10 m. O módulo da força elétrica que um exerce sobre o outro é de: Dados: K=9^9.10 Nm²/C²; e=1,6.10^-19C.

a) 13,07.10^-9 N
b) 2,304.10^-8 N
c) 23,04.10^-8 N
d) 23,04.10^-10 N
e) 23,04.10-10 N

Answer 1

Força elétrica :

$\displaystyle \text F_\text e = \frac{\text k.|\text q_1|.|\text q_2|}{\text d^2}$

Temos :

$\text q_1 = \text q_2 = 1,6.10^{-19 } \ \text C \\\\ \text k = 9.10^{9} \ \text{N.m}^2/\text C^2 \\\\ \text d = 1,0.10^{-10} \ \text m$

Portanto :

$\displaystyle \text F_\text e = \frac{9.10^9.1,6.10^{-19}.1,6.10^{-19}}{(1.10^{-10})^2} \\\\\\ \text F_\text e = \frac{23,04.10^{-38+9}}{10^{-20}} \\\\ \text F_\text e =23,04.10^{-29+20} \\\\ \text F_\text e = 23,04.10^{-9} \\\\ \huge\boxed{\text F_\text e = 2,304.10^{-8} \ \text N \ }\checkmark$

letra b