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5.0L (1979-1995) MustangTechnical discussions on 5.0 Liter Mustangs within. This does not include the 5.0 from the 2011 Mustang GT. That information is in the 2005-1011 section.
running water in the coolant system is a common cause it causes rust in the system and the next thing you know you are replacing freeze plugs or in my case breaking of water pump bolts
The way i understand how the pressure sensor works is it is more of an on off vs actual pressure. Best thing to do to verify if u have pressure or not is to install an actual gauge. My press gauge was doing the exact same thing and it was the sensor. I bet u got a defective sensor and it went bad already.
I've changed the sensor twice. But then again, when I do change the sensor, it stays right in the middle for a few days before doing the whole dropping under acceleration thing.