At about 1148 Mountain time the airplane crashed while attempting a go-around. Neither the private pilot nor the non-rated passenger was injured. Visual conditions prevailed. During the first approach the pilot initiated a go-around when another plane flew in front of him. On the second approach, the airplane bounced on touchdown and the pilot initiated another go-around. He said the engine did not respond properly and the airplane settled back to the ground, striking the tail and landing left of the departure end of the runway. The airplane traveled several hundred feet before stopping on its belly.