On August 17, 2005, approximately 1315 mountain daylight time, a Cessna 172N, N9892J, operated by a private pilot, was substantially damaged when it nosed over during a forced landing at Cedar City Regional Airport (CDC), Cedar City, Utah. Visual meteorological conditions prevailed. The training flight was being conducted on an instrument flight rules flight plan under the provisions of Title 14 CFR Part 91. The private pilot and private certificated safety pilot were not injured. The cross-country flight was originating at the time of the accident, and was en route to Provo, Utah. According to a telephone interview with both pilots, they were departing on a cross-country flight so the private pilot could build instrument hood time. According to the private pilot, he had established a positive climb rate and transferred the flight controls to the safety pilot so he could put on his hood. Approximately 500 feet agl, the engine lost power and the safety pilot continued flying the airplane. According to a report submitted by the safety pilot, he tried adjusting mixture and power but nothing worked to restore power. The airplane touched down to the west of runway 02, at a 45 degree angle to the paved runway surface. According to the private pilot, the airplane touched down in the dirt short of the runway, bounced, then touched the dirt again. When the nose wheel touched down, it sank in the dirt and the airplane flipped upside down and skidded to a stop on the runway. The nose landing gear assembly separated, the firewall was wrinkled, and both the left and right wings were wrinkled. The airplane was recovered and relocated to a hangar in Phoenix, Arizona, for further examination. The engine was examined by the NTSB IIC on October 5, 2005. No anomalies were noted that would have precluded the engine from producing power prior to the accident.