Electron accelerated though constant E field

[deadscientist]

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.

 

[Andrew Mason]

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