Car problem, electrical maybe.?

I have a 2001 Mustang v6 coupe and I've been having some trouble with the electrical I think. When I am driving and I hit a slight bump in the road the power shuts down but in a slit second it kicks right back up. Now i checked the battery and its at 100% charge and the terminal cables seem fine, I even jacked the car up to check the connections on the starter solenoid but I found no problem there either. What could the problem be? Do I need new terminal cables or is it something else that I'm not seeing?