How Do You Calculate the Force Needed to Accelerate an Electron?

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SUMMARY

The discussion focuses on calculating the force required to accelerate an electron with a mass of 9.11 x 10^-31 kg from an initial speed of 1.50 x 10^7 m/s over a distance of 0.0125 meters using the work-energy theorem. The relevant equations include W = Fd and KE = 1/2 mv^2, leading to the conclusion that the force required is 3.56 x 10^-19 N. Participants emphasized the importance of clarifying initial conditions and units in the problem statement to avoid confusion.

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Homework Statement



use the work energy theorem to find the force required to accelerate an electron (m=9.11 X10^-31 kg) from a speed of 1.50 X10^7 m/s in a distance of .0125

Homework Equations


W=Fd KE= 1/2mv^2

W=KE


The Attempt at a Solution



I've tried this problem about eight times, and each time I managed to get a different answer, but this is my try at a solution

W=Fx
W/x= F

W=1/2mv^2

mv^2/2x = F

however, this does not work for me.

the answer is 3.56 X10 -19N
 
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crimsonn said:

Homework Statement



use the work energy theorem to find the force required to accelerate an electron (m=9.11 X10^-31 kg) from a speed of 1.50 X10^7 m/s in a distance of .0125

[...]

To a speed of what? What is the unit of distance?
 
Yeah, was this electron at rest to begin with, or was it in motion already? Check the wording of your question.
 

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