Consider the example of the Hydrogen atom. A simplified $($but very useful$)$ model for this atom $($typically called the Bohr model$)$ consists of a single electron going at constant speed in a circular orbit around a single proton. The relevant parameters of the Hydrogen atom are as follows:Electron mass: $9\mathrm{.}11$ x $10-31$ kg$,$ electron charge: $-1\mathrm{.}60$ x $10-19$ C;Proton mass: $1\mathrm{.}67$ x $10-27$ kg; proton charge: $+1\mathrm{.}60$ x $10-19$ C;Radius of electron orbit: $5\mathrm{.}29$ x $10-11$ m$1.$ A sketch of an electron going around a proton is shown as hypothesized. Reasoning from the sketch, what is the direction of the acceleration of the electron?Hence, according to Newton$’$s second law, what is the direction of the force on the electron by the proton? That is$,$ does the proton attract or repel the electron? Or neither?$2.$  What is the magnitude of the electrical force on the electron due to the proton?$3.$ What is the magnitude of the gravitational force on the electron due to the proton? Is it attractive or repulsive?$4.$ Which force is stronger, the gravitational or the electric force? How many times stronger?

 

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