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Hello fellow engineers !
I need bit your advice , maybe someone can help.
I need to make some calculations about COILGUN.

Lets say i have COIL with Length of 10cm and it have 15 layers of wire with diameter 1mm.

and i have steel stick (random measures like 1cm diameter x5cm length )what should move in to the coil while i let 20V run through the coil wire.
So 20V will make electromagnetic field , it acts as magnet and will pull that piece of steel in to the coil.
I need to calculate out the piece of steel force or speed while it reaches middle of the coil.
Have anybody any ideas about how to make this calculations , i mean does anybody know any physics formula.
to find it out. Or can explain me logics how to find out this value.

Thank you for helping