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2021-11-23

If an electron and a proton are expelled at the same time, $2.0\times {10}^{-10}m$ apart (a typical atomic distance), determine each particle's starting acceleration.

Louis Gregory

Beginner2021-11-24Added 14 answers

Step 1

Given

We are given the distance between a proton and an electron

Solution

The two particles have an opposite charge, therefore each one exerts a force F on the other particle. This force could be calculated by the Coulomb's law as in equalion 21.2

Where

To obtain the initial acceleration a of the two particles we should get the force that exerted on the proton and the electron. Where the acceleration a is given by Newton's second law in the form.

Where m is the mass of the particle, and for proton

Now we can plug our values tor

Step 2

Now, use equation (2) to get the acceleration a for each particle using the value of F.

For proton: We can plug our values for F and

For electron Again plug our values for F and

Ourst1977

Beginner2021-11-25Added 21 answers

Proton

Electron

Since the charges are opposite, the Coulon b fuse is attractive.

From Newtois Second Law,

acceleration of electron:

22+64

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