# Stuck with physics ?

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In this problem you will examine the forces in the Bohr model of the atom.

In the Bohr model of the hydrogen atom, an electron of mass 9.1×10−31kg and charge -1.6×10−19C is considered to be moving at a constant speed of 2.1113x10+6 m s−1 in a circular orbit of radius 5.2335x10-11 m around a proton of mass 1.67×10−27kg and charge +1.6×10−19C .

Calculate the centripital force, (m v2)/r, necessary to keep the electron moving in its orbit.

Give your answer in Newtons.

2.) Calculate the electrostatic force (magnitude) acting on the electron due to the proton.

Give your answer in Newtons.

In this problem you will examine the forces in the Bohr model of the atom.

In the Bohr model of the hydrogen atom, an electron of mass 9.1×10−31kg and charge -1.6×10−19C is considered to be moving at a constant speed of 2.1113x10+6 m s−1 in a circular orbit of radius 5.2335x10-11 m around a proton of mass 1.67×10−27kg and charge +1.6×10−19C .

Calculate the centripital force, (m v2)/r, necessary to keep the electron moving in its orbit.

Give your answer in Newtons.

2.) Calculate the electrostatic force (magnitude) acting on the electron due to the proton.

Give your answer in Newtons.

##### 2 Answers

Centripetal force:

Electrostatic force:

#### Explanation:

The centripetal force is given by:

We have been told that:

Simply put these numbers into the expression to find the force:

For the electrostatic force use:

In the case:

The charge of the electron is the same but opposite the charge of the neutron so (we want the magnitude so just take the positive of both anyway):

Finally,

Plug these into the formula to get:

There are discrepancies in the results (e.g. the two forces are out by about

Any further discrepancies may also may be down to the fact that relativistic effects have not been accounted for.

I get centripetal force required,

#### Explanation:

My calculations are as follows: