Electron Oscillator Homework: The Attempt at a Solution

[athrun200]

Homework Statement

Homework Equations

The Attempt at a Solution

If it is SHE, I can use some equation to find T. But it seems it is not. Because the net force is invesely proportional to the square of distance, which is not SHM.

So what can I do?

 

[athrun200]

Homework Statement

Homework Equations

The Attempt at a Solution

For part b. Can it do this?
Because the speed increased by sqrt2, so f also increased by this factor.

But I don't know if this assertion is correct.

For part c, in order to find f, we need to know the time taken to finish 1 round.
To know the time, I need the velocity. But it seems velocity is varying, so how can I find the time?

For part d, the max speed of electron should be light speed. again, there will be various speed (especially the reverse of direction) how can I know the time?

Also, can you guide me to the last 2 part?
I found it is too difficult for me.