Final answer:
During the capture of Vicksburg, Ulysses S. Grant and his troops faced challenges, but they eventually captured the city through a siege that weakened the Confederate forces.
Step-by-step explanation:
During the capture of Vicksburg, Ulysses S. Grant and his troops faced several challenges. They attempted multiple failed attacks on Vicksburg and suffered casualties. Eventually, Grant decided to lay siege to the city, surrounding it, blockading it, and cutting off its supplies. The Confederate forces in Vicksburg were eventually weakened by the siege and the blockade, leading to their surrender.
The capture of Vicksburg gave Grant control over the Mississippi River and dealt a significant blow to the Confederate forces in the Western Theatre of the war.