On December 16, 1997, at 1815 central standard time, a Piper PA- 24-250, N6377L, operated by a certified flight instructor (CFI) and a commercial pilot experienced a loss of engine power. The airplane touched down short of the runway and collided with terrain at the Jabara Airport, Wichita, Kansas. The 14 CFR Part 91 personal flight was operating in visual meteorological conditions without a flight plan. Neither pilot was injured. The airplane was substantially damaged. The flight originated from the Jabara Airport at 1730 cst. The purpose of the flight was for the CFI to check out the commercial pilot in the airplane. The CFI reported that during the preflight the commercial pilot checked the right side fuel tanks and stated that there was fuel in both tanks. The CFI checked the left side tanks and reported the "tip" tank was full and the main tank was down about 1 1/2 inches. They then took off for a local flight using the left main fuel tank. After approximately one half hour they returned to the airport to practice takeoffs and landings. He reported they performed one touch and go followed by one go-around when the commercial pilot switched the fuel selector to the right main fuel tank while on downwind for the next landing. The CFI reported he then noticed a zero fuel indication and was in the process of switching fuel tanks when a loss of engine power occurred. He reported he switched back to the left main tank and told the commercial pilot to verify that the boost pump was on. The CFI reported that the airplane contacted the ground 200 - 300 yards short of the threshold just as the engine power was restored. The airplane touched down in a soft, plowed field which had furrows running perpendicular to the end of the runway. All three landing gear collapsed damaging both wing spars. The vertical and horizontal stabilizers were damaged by the right main gear when it separated from the airplane. Post accident inspection of the airplane revealed the right main fuel tank was empty and the left main tank contained a small amount of unusable fuel.