How Strong is the Force Between a Uranium Nucleus and an Electron at 0.1 nm?

[Sashikala]

Homework Statement

What is the force of attraction between a uranium nucleus(atomic number 92)
and an electron at a distance of 0.1 nm?

Homework Equations

F = kQ1Q2/r²

The Attempt at a Solution

F= 8.99*10⁹*92*1.6*10^-19*(-1.6*10^-19)/0.1*10^-9

Please let me know the attempt at a solution is correct.

 

[Cilabitaon]

well, using Coulomb's Force(like you did), you get the equation

$$F=\frac{1}{4 \pi \epsilon_{0}} \cdot \frac{Q_{U}Q_{e^{-}}}{r^{2}}$$

Which then, by substitution:

$$F=\frac{1}{4 \pi \times 8.85 \times 10^{-12}} \cdot \frac{(92 \times 1.6 \times 10^{-19}) \cdot (-1.6 \times 10^{-19})}{(0.1 \times 10^{-9})^{2}}$$

 

[Kabbotta]

Yeah, it looks like you just forgot to square the radial distance.