# Kinetic energy of an orbiting electron (Bohr Model)

#### poopscoop

Joined Dec 12, 2012
140
I have to find the orbital kinetic energy of an electron around a single proton. I solved for Potential energy via U=qv (test charge times voltage).

For kinetic energy, I feel like this should be identical to a physics 1 satellite question involving kinetic energy, where I must find the velocity at which the centripetal force matches the attractive force between the charges. From there solving for kinetic energy is simply a matter of plugging the mass and velocity into the equation.

I'm having trouble mathematically expressing the attractive force as equal to the centripetal force.

I am attempting to take the force= Electric field x test charge, so kQ(proton)/r^2 x q(electron)
and match it to
m(electron)v^2/r

Am I on the right track here conceptually?

#### studiot

Joined Nov 9, 2007
4,998
Yes you are on the right lines but check again in your other thread, your understanding of signs.

Post some equations for us to discuss.