On November 1, 1996, at 1745 eastern standard time, a Piper PA-28-161, N81435, collided with two travel trailers in a secure lot east of the Hernando County Airport in Brooksville, Florida. The instructional flight operated under the provisions of Title 14 CFR Part 91 with no flight plan filed. Visual weather conditions prevailed at the time of the accident. The airplane sustained substantial damage, and the student pilot was not injured. The flight departed Brooksville, at 1730. The aircraft owner reported that the student pilot was conducting traffic pattern training when he experienced a total loss of engine power while on final approach to runway 27. The student pilot reported that he completed the before landing check, that included the application of carburetor heat. After the student pilot turned on to the final approach leg, he noticed that the engine had quit. The student pilot selected an area near the airport and attempted a forced landing. During the forced landing roll out, the airplane collided with two parked vehicles. The examination of the aircraft at the accident site failed to disclose a mechanical problem. A subsequent functional check of the engine disclosed that it operated normally throughout all power ranges. This check was repeated with the same results. A review of the weather data disclosed that conditions were favorable for the formation of carburetor icing.