Speed and kinetic energy of electron in Bohr model ground state

[jamesjd]

Homework Statement

In the Bohr Model of the Hydrogen Atom, a single Electron orbits a circle round a single stationary Proton. If the radius of the electron's orbit for its lowest energy state (the "ground state") is 5.3x10^-11m, find the the constant speed, v , of the orbiting electron .

Homework Equations

and calculate its kinetic energy in electron volts

The Attempt at a Solution

constant speed = angular velocity x radius (5.3x10^-11)

 

[JaWiB]

The orbit also depends on the force on the particle

 

[jamesjd]

so how would i get the acceleration to use F = ma?

 

[JaWiB]

Well sort of. You know that the net force is F = ma, but you should also know how the force (or radial acceleration) on a particle in a circle path is related to its velocity. Also apply Coulomb's law and you should be able to solve for the velocity

 

[jamesjd]

F = m*(v^2/r)?

 

[Maybe_Memorie]

Do you have the mass of the electron, and the charge of the electron and proton?

 

[jamesjd]

9.11x10^031kg Mass of electron

1.6x10^-19 electron + proton?