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# Velocity of an electron

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2 stationary point charges +3.00 nC and +2.00 nC are seperated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges. What is the speed of the electron when it is 10.0 cm from the +3.00 nC charge?

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#### Solution Preview

Please see the solution to your problem in the attached Word file
'Solution_ChargesAtRest_ElectronInMotion_01.doc'.

Here I have explained you what would happen if there would be a proton instead of electron.

Posting ID: 97107

Physics, Development and Consumption of Energy
Year 2

Velocity of an electron

Hello,

The problem is as follows:

2 stationary point charges +3.00 nC and +2.00 nC are seperated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges. What is the speed of the electron when it is 10.0 cm from the +3.00 nC charge?

I've tried everything, including conservation of energy. I set Potential Energy at the point x= 0.25 m equal to the sum of the Kinetic and Potential Energies at x = 0.10 m from the +3.00 charge. Then I solved for the velocity from the KE energy at x =0.10 m from the +3.00 charge as follows:

v = sqrt. ((2*q*(V_a-V_b))/m) where m = mass of electron = 1.67*10^-27 kg and q = charge of electron = 1.60*10^-19 C

The potentials were derived from the sum of potentials due to both positive charges at each respective point. Then, I subtracted the potential at 0.25 from the potential at 0.10. I then plugged in the potential difference, the mass of the electron, the charge of the electron and still did not get the right answer

What am I doing wrong?

Also, ...

#### Solution Summary

The solution shows how to calculate the speed of an electron.

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