Question

How far away must a proton be to produce the same size force on the electron (same size as the gravitational force meg. )? Your answer should show why gravity is unimportant on the molecular scale!

Answer 1

r = 5.1 m

Step-by-step explanation:

As we know that the force of gravitation on the object is given as

`F = mg`

here we know that

`m = 9.1 * 10^(-31) kg`

`F = (9.1 * 10^(-31))(9.81)`

`F = 8.93 * 10^(-30)N`

now the electrostatics force between electron and proton is same as that of gravitation force

so we have

`(8.93 * 10^(-30)) = ((9* 10^9)(1.6 * 10^(-19))^2)/(r^2)`

`8.93 * 10^(-30) = (2.3 * 10^(-28))/(r^2)`

`r = 5.1 m`