Electron accelerated though constant E field

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SUMMARY

The discussion focuses on calculating the momentum and kinetic energy of an electron subjected to a constant electric field of 1000 V/m, both in the lab frame and in the frame of a rocket moving at 0.99c. The initial condition states that the electron is at rest. Key steps include plotting position as a function of time, applying Lorentz transformations to convert coordinates, and calculating the velocity in the rocket's frame to derive kinetic energy. The approach emphasizes the importance of relativistic effects due to the high velocity of the rocket.

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  • Knowledge of relativistic momentum and kinetic energy equations
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deadscientist
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Suppose an electron is initially at rest in a constant E field of 1000 V/m as measured in the lab. Determine the electrons momentum and kinetic energy as a function of time a) in the lab frame b) in the frame of.a rocket moving at .99c in the direction of the electric field. Not quite sure how to approach the problem any suggestions would be greatly appreciated thank you.
 
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deadscientist said:
Suppose an electron is initially at rest in a constant E field of 1000 V/m as measured in the lab. Determine the electrons momentum and kinetic energy as a function of time a) in the lab frame b) in the frame of.a rocket moving at .99c in the direction of the electric field.


Not quite sure how to approach the problem any suggestions would be greatly appreciated thank you.
Why not start by plotting position as a function of time? What would that graph look like?

The next step would be to apply the Lorentz transformation to the x and t coordinates to get the x' and t' coordinates in rocket's frame of reference.

Then work out v' in the rocket's frame of reference using those x' and t' coordinates. Then work out v^2 to find kinetic energy.

AM
 

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