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i need a small help please ...

we have tow frames and tow observers , let suppose there is a force on an object in one of the frames , so from newton law:

f=ma

"a" depend on "x" distance which is not constant in the other frame , so why they assumed that it is constant as the mass ?!

of course i am talking about the period before modern physics of Einstein and the electromagnetic theory.

thanks a lot ...