Calculate the magnitude of the electrostatic force between an electron and a proton separated by 1 meter.

Here are the calculations for each part of the problem.

Constants used:

• Coulomb's constant, $k = 8.987 \times 10^9 \text{ N m}^2/\text{C}^2$
• Gravitational constant, $G = 6.674 \times 10^{-11} \text{ N m}^2/\text{kg}^2$
• Elementary charge (magnitude), $e = 1.602 \times 10^{-19}$ C
• Mass of electron, $m_e = 9.109 \times 10^{-31}$ kg
• Mass of proton, $m_p = 1.672 \times 10^{-27}$ kg
• Acceleration due to gravity, $g = 9.8 \text{ m/s}^2$

a) Calculate the magnitude of the electrostatic force between an electron and a proton.
Given:
Charge of electron, $q_e = -1.602 \times 10^{-19}$ C
Charge of proton, $q_p = +1.602 \times 10^{-19}$ C
Distance, $r = 1