During high-speed flight approaching Mach 0.68, especially during dives, the aircraft's tail would begin to shake violently and the nose would tuck under, steepening the dive. Once caught in this dive, the fighter would enter a high-speed compressibility stall and the controls would lock up, leaving the pilot no option but to bail out (if possible) or remain with the aircraft until it got down to denser air, where he might have a chance to pull out.From Wikipedia.
The danger from a nose dive is that high speeds stress the airframe so that it will eventually come apart. Pulling up out of a dive has to be done carefully to avoid too many Gs. There is also the possibility of control surface flutter.
Aircraft certified by the FAA have various requirements force of pilot control inputs (for example, a normal pilot has to be able to overcome the trim, so a particular force in pounds is specified as a limit).
posted by exogenous at 2:18 PM on May 6, 2010