An electron starts from rest 24.5 cm from a fixed point charge with how fast will the electron be moving when it is very far away?

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12-09-2022
Physics

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An electron starts from rest 24.5 cm from a fixed point charge with how fast will the electron be moving when it is very far away?

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Tutorconsortium367 Tutorconsortium367 · Answer 1 · 2022-09-14T14:15:27-04:00

Consequently, an electron's speed at a very great distance is: 1.047 x 10 ^7 m/s

What is Electric Potential Energy?

The amount of work required to move one charge from infinity to a location close to the other charge is known as the electric potential energy of a system of two charged particles. When two charges exist in a system and are separated by an infinite distance, their electric potential energy is zero. The following mathematical formula can be used to express the electric potential energy of a system of two charged particles:

U =k⋅q1⋅q2/r

Where:

k is the coulomb's constant.

q1 is one of the charges.

q2 is the second charge.

initial speed of electron u = 0 m/s

mass of an electron is m= 9.11×10^−31 kg

Let v be the final velocity of the electron

When the electron is quite distant from the fixed charge, we are asked to determine its final speed. The system is being held together by a conservative force (electron and fixed charge) (electric force). As a result, we can apply the principle of mechanical energy conservation by equating the system's beginning mechanical energy (represented by the electron and constant charge) to the system's ultimate mechanical energy as follows:

MEi = MEf

KEi + PEi = KEf + PEf

Putting the values we get,

v= 1.047 x 10 ^7 m/s

To learn more about electric potential click on the link below:

https://brainly.com/question/23980243

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