"Potrafić" and "móc" - what's the difference?

Please, what is the difference between potrafić and móc?

I know that they both mean can, but there must be some difference in use and so far I have been too stupid to figure out what it is... =(

potrafić is rather used to describe someone's skills - for example potrafię czytać

potrafic - you know how to do something, are qualiffied to do it.

moc - its in your power, you can do something if you want to

potrafić - denotes the ability to do something
móc - persmission, abiltiy or will to do something

potrafić - manage, know how
móc - be able, may

Thank you =) , so much!

In a learning sense such as reading the verb umiem can be used, for example umiem czytac whereas moge czytac may refer to the fact that where I am now, such as the light in this room, is adequate.

Right on...

I believe there is also a saying in Polish chciec to moc-which means, more or less, where there is a will, there is a way.