An interesting (but oversimplified) model of an atom pictures an electron \"in o

Question

An interesting (but oversimplified) model of an atom pictures an electron "in orbit" around a proton. Suppose this electron is moving in a circular orbit of radius 0.70 nm (7.0 * 10-10 m) and the force that makes this circular motion possible is the electric force exerted by the proton on the electron. Find the speed of the electron.

-----------------------------------

I have already attempted to solve this problem, but to no avail. What I tried to do waa to use F=qE, and E= kQ/(r^2) to make a new equation: F=qKQ/(r^2). Using this new equation I plugged in all the information I thought I needed, but I solved for the equation and got an answer (-4.49e-10 m/s), which is not correct.

-----------------------------------

If you could explain the equations that you should use to solve this equation as well as the steps to solve for this, I would be very appreciative. Also if you can explain why my method is incorrect that would be great.

Explanation / Answer

The Electric Forcesuppliesthe centripetal force to keep the circular orbit, thus.

CentripetalForce =Electric force

(undefined) (undefined)

(undefined)

(9.11 X 10^-31)(v^2) = (9 X 10^9)(1.6 X 10^-19)(1.6 X 10^-19)/(7 X 10^-10)

v = 6.01 X 10^5 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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