Do I still get some credit for a reasonable guess?
Looking it up, it seems that a Phantom has around 2x12,000lb dry thrust, which I make a total of about 11 tonnes. It also seems that the 100m distance to stop is within about 10%, perhaps a little generous, so 10MJ to run the wire out against the engines is I think within 10% of the total. If it's in afterburner, about 50% more.
That makes sense, given the time it would take to reach 150kts (~75m/s) from a standing start should be about 8s, and it stops in ~2s, so the kinetic energy is about four times the work done by the engines during the stop.