Gas and Oil Home Heating Furnaces - a/c unit power surge quick outage no cooling

Everything was great - then we had a quick power outage - less than a minute - big snap sound near central air unit. Fan blows - sounds like compressor kicking in but not cooling. All breakers are on. Any suggestions?

Check these things, Is air coming from the registers in the house?, on the outdoor unit, is the compressor fan running, and can you hear if the compressor itself is running. If all 3 of these things are good, then feel the two copper lines from the compressor going to the house, the smaller line should be warm to the touch and the larger on should feel cool to the touch. I can't really give any better advice right now with the info presented. I can say that many compressors will not come right back on after being turned off, (shutdown or from a power drop). They have a delay built in to them, and some thermostats also have this same type of delay. But if some time hase passed, this probably isn't it.
Check these things and come back with what you find..

Also check your capacitor to see if it is bulging at the top where your wires connect with spade terminals. They will make a popping noise sometimes when they go bad.

The unit is a Goodman PH048-1AB - air does flow from the registers. Neither copper pipe is cold. We're checking on the other things as I type. It was really a loud POP at the time of the loss of power. Thanks for any and all help and imput.

First, go to the outside breaker, turn it off, push to reset, but don't turn it back on yet. Check both the fan and compressor capacitors. If buldged or leaking, this may be the problem. Check all high voltage wiring inside the elec.compartment for burnt/loose wires. Remove the plastic compressor terminal cover and look for burnt wiring. If everything is ok so far, check to make sure the comp. contactor pulls in and releases when told to do so by the thermo. If all ok, turn on the outside breaker and set the stat to cool. If the outside fan runs and the compressor doesn't then you've narrowed it to either the comp. or its capacitor. At this point you really should have a volt/ohmmeter to test further. Only you know what your capabilities are. High voltage can be deadly. If you aren't comfortable with all this , then call an experienced HVAC tech .