It could be the alternator or just the battery. How are the belts? Does the car start and run fine? Because if the alternator went it would drain the battery and it wouldn't have enough power to restart the car.
'95 Contour GL, zetec mtx, drop in K&N, exhaust res removed, 4 10" Kenwoods powered by 1000W Visonik amp, 4 5"x7"/6"x8" Visoniks