Why would it be more likely for someone who is ice skating to fall through the lake than a person walking in normal shoes?

Someone ice skating is more likely to fall through the ice because the skates concentrate the skater's weight on a smaller surface area, increasing the pressure on the ice. This pressure can exceed the ice's load-bearing capacity, especially if the ice is thin or weak. In contrast, a person walking in normal shoes distributes their weight more evenly across a larger surface area, reducing the likelihood of breaking through the ice. Additionally, skaters often move at higher speeds and make sharp turns, which can destabilize their balance and increase the risk of falling.