It's awkward to have high current power line near a data wire (can
cause some interference in the case of current surges), but
unless it's a LONG parallel run, you're probably OK. Good
procedure is to maintain 12" separation (but other posters
have already mentioned that). This 'good procedure' is routinely
violated at the back of a computer with AC wires an inch or five
from the network; it doesn't really matter much for only a foot
or four of close proximity. Ethernet and telephone wiring are
both intended for electrically noisy environments (not including
factory floors full of welders and motors).
Alas, best shielding should be MAGNETIC shielding not just foil (it
isn't electrostatic coupling that you worry about, that's all
at 60 Hz; it's the magnetic field due to motor noise that might
get into the high-enough-frequency-to-cause-trouble range).
The voltage induced from a 60A cable is no more than that from a 2A
cable (light cord), but the CURRENT can be a bigger issue.
The easiest plan would be to twist the power wire (to reduce the
radiation); the data cables in the Cat5 wire are already twisted, of
course, but the same principle holds for the Hot1/Hot2 of a 220V
pair, or the Hot/Neutral pair of a 120V power wire. Less easy, run a strip of
soft iron (a scrap of galvanized sheet would do) and wire-tie the Cat5
wire so it hides behind that strip. Hardest, get a steel wiring channel
(like Wiremold makes) and house some or most of the Cat5 wire in that.