Question 19 of 24 Map Sapling Learning A uranium and iron atom reside a distance

Question

Question 19 of 24 Map Sapling Learning A uranium and iron atom reside a distance R 59.50 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 K R What is the magnitude of the force on the electron from the uranium ion? Number AO Previous ® Give Up & View Solution e Check Answer o J Exit Next Hint

Explanation / Answer

Force on electron by uranium = Force on electron by Iron

k*Q*q / r^2 = k *2Q*q / (R-r)^2

2r^2 = (59.5 - r)^2

2r^2 = 3540.25 +r^2 - 119r

r^2 + 119r - 3540.25 = 0

r = -119 + sqrt(119^2 + 4*3540.25) / 2

= 24.64 nm

force on uranium ion by electron = 9*10^9*1.6*10^-19*1.6*10^-19 / (26.64*10^-9)^2

= 3.793*10^-13 N (to the left)

force on uranium ion by iron = 9*10^9*1.6*10^-19*2*1.6*10^-19 / (59.5*10^-9)^2

= 1.3*10^-13 N (to the right)

Net force = (3.793 - 1.3)*10^-13 = 2.49*10^-13 N (to the left)

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.