Respuesta :
Answer: The electrostatic force is 2.62 x 10^45 times greater than the gravitational force
Explanation:
According to columb's law, the electrostatic force F is given mathematical as
F =K* q1 *q2/ r²
K= electrostatic constant = 9 x 10^9 Nm²/c^-2
q1 = 1.609 x 10^-16c
q2 = 1.609 x 10^-16c
r = 0.530 x 10^-10m
F= 9x10^9 * 1.609x10^-16 * 1.609x 10^-16/ (0.530 x 10^-10)²
F = 23.299 x 10^-23/ 0.289 x 10^-20
F = 8.29 x 10^-2 N
To get the gravitational force F', we use newton' law of gravitation which is given below as
F' = G *Me * Mp / r²
Where G= gravitational constant = 6.674 x 10^-11
Me = mass of electron = 9.11×10^–31 kg
Mp = mass of proton = 1.67×10^-27 kg
r = distance between proton and electron =0.530 x 10^-10m
F' = (6.674 x 10^-11) * (9.11×10^–31) * (1.67×10^-27)/ (0.530 x 10^-10)²
F' = 101.53 x 10^-69/ 0.2809 x 10^-20
F' = 3.164 x 10^-47 N
It is obvious that electrostatic force is greater than that of gravitational, to know how much, we divide electrostatic force by gravitational.
Thua
F/F' = 8.294 x 10^-2/ 3.164 x 10^-47 = 2.62 x 10^45
Thus the electrostatic force is 2.62 x 10^45 times greater than the gravitational.
