What happens to electrons in a cut wire? what happens to electrons in a cut wire.
I know it is dangerous but out of curiosity if there was a power cable cut and connected to the outlet, the electrons would be dispersed in the air when they reached the cut edge of the cable?

 A: As the comment by @Mitchell already points out, dieletric breakdown is something that could happen. If the wire is at high enough voltage, then it may ionise the air to reach the ground, which would be the low voltage terminal. This is what happens with lightnings.
The voltage required for the above is usually in the thousands of Volts, which is unusual to find in a common mains cable.
The danger then is if you touch it. Then, your body is essentially a second "wire" that connects that cable to the ground. Power cables may reach up to 415 V for three-phase sockets in Europe. If you are not wearing shoes and your skin in wet, your body would have quite a low resistance, enough for a sizeable current to flow through you. Which can cause a number of problems: stop your heart (fibrillation) or burn you. All in all, not ideal.
This is especially dangerous if the cables come directly from the wall, that is not after a DC power supply like your phone or laptop charger. Those DC voltages are usually <24 V which are innocuous.
A: You can basically think of any waves (signals, AC power, etc) as being nearly perfectly reflected at the new termination point. This can give rise to standing waves and stop all net flow. So, if you cut the cable and leave it there on the ground, nothing will flow out. If you touch it, you're now part of the cable and probably regretting it.
