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Hmmm.. your first task should be - ask her what *she* would consider to be ''proof''.
If science and scientists don't convince her, and mathematics don't convince her (and it would seem quite likely that the calculus of Newton which handily proves the relationship would be... somewhat beyond her grasp...), then it would seem likely that there isn't anything -sane- that could be offered up as proof.
She may be convinced if her Aunt Wistinia says that the Moon causes tides. Or perhaps she might if she read it in an e-book that is being read by a large Pooh-bear. Or if her minister tells her that this is the case.
Or maybe she just is trying to be 'skeptical' - and questioning ''common knowledge'' (not entirely a bad thing, actually) - but doesn't understand the science. Or perhaps your explanation of the science didn't do the trick. Or something.
So find out from *her* - what would be ''proof'' to her. If she says that she can't imagine anything proving this to her... then say ''okay'' and let it go. (and my own advice would be to start shopping around quietly for a new girlfriend..)
If she says - ''well, if a scientist shows me how this works - then you may have a reasonable chance.
BTW - people have known that there is some sort of relationship between the moon and tides since ancient days - long before Newton. They didn't necessarily know *why* the Moon affected tides (or which actually affected the other...), but the relationship was known.
Simple observation (over time) would show a clever observer (or a person who's livelihood depended upon the sea and the tides) that the two-tides of a single day each come a little later each day - by the same delay as the moon's rising is delayed each day. It takes a bit of mathematics and some head-scratching to understand why there are *two* high tides (well, two low tides as well...) each day - but the videos in the source(s) below should help.
If science and scientists don't convince her, and mathematics don't convince her (and it would seem quite likely that the calculus of Newton which handily proves the relationship would be... somewhat beyond her grasp...), then it would seem likely that there isn't anything -sane- that could be offered up as proof.
She may be convinced if her Aunt Wistinia says that the Moon causes tides. Or perhaps she might if she read it in an e-book that is being read by a large Pooh-bear. Or if her minister tells her that this is the case.
Or maybe she just is trying to be 'skeptical' - and questioning ''common knowledge'' (not entirely a bad thing, actually) - but doesn't understand the science. Or perhaps your explanation of the science didn't do the trick. Or something.
So find out from *her* - what would be ''proof'' to her. If she says that she can't imagine anything proving this to her... then say ''okay'' and let it go. (and my own advice would be to start shopping around quietly for a new girlfriend..)
If she says - ''well, if a scientist shows me how this works - then you may have a reasonable chance.
BTW - people have known that there is some sort of relationship between the moon and tides since ancient days - long before Newton. They didn't necessarily know *why* the Moon affected tides (or which actually affected the other...), but the relationship was known.
Simple observation (over time) would show a clever observer (or a person who's livelihood depended upon the sea and the tides) that the two-tides of a single day each come a little later each day - by the same delay as the moon's rising is delayed each day. It takes a bit of mathematics and some head-scratching to understand why there are *two* high tides (well, two low tides as well...) each day - but the videos in the source(s) below should help.