Question

A uranium and iron atom...

A uranium and iron atom reside a distance R 26.90 nm apart. The uranium atom is singly ionized; the iron atom is doubly ionized. Calculate the distance r from the uranium atom necessary for an electron to reside in equilibrium. Ignore the insignificant gravitational attraction between the particles. Number iron ion uranium ion electron nm ? What is the magnitude of the force on the electron from the uranium ion? Number

please make steps and answer legible and explain throughout the process.
Thank you

Answer 1

k theta/r^2 = k times 2 theta/(R - r)^2 R - r/r = squareroot 2 r = R/1 + squareroot 2 = 11.1 nm F = k Q q_e/r^2 = 9 times 10^9 times 1.6 times 10^-19 times 1.6 times 10^-19/(11.1 times 10^-9)^2 F = 1.86 times 10^-12 N