Final answer:
U.N. forces captured the North Korean capital of Pyongyang during the Korean War, following strategic moves such as the Incheon landing which enabled them to push back North Korean troops.
Step-by-step explanation:
During the Korean War, coalition forces led by the United States were able to capture the North Korean capital of Pyongyang. This event occurred after a counter-offensive by U.N. forces following the initial invasion of South Korea by the North Korean troops. The landing at Incheon was a strategic move that significantly altered the course of the war, allowing for the recapture of Seoul, the South Korean capital, and the subsequent advance into North Korean territory, culminating in the capture of Pyongyang.
The Korean War demonstrated the complexities of Cold War politics and the dangers of escalation, with the conflict nearly leading to a larger war involving China and possibly the Soviet Union. The U.S.-led U.N. forces later faced a massive counterattack after reaching the Yalu River, the border with China, forcing a stalemate around the 38th parallel, which still serves as the dividing line between North and South Korea today.