It is said that a fool and his money ate soon parted. suppose we place the fool and gold brick in the middle of a frictionless, frozen lake (galileo's ideal frozen lake).how can the fool rescue himself? is he still a fool?

He could theoretically push the gold brick away from himself, and due to Newton's 3rd law (Every action has an equal and opposite reaction), the same amount of force would recoil back at him from the gold brick. As a result, he will move in the opposite direction from the gold brick, and since it as an ideal frozen lake (meaning there is no friction present), he will keep going until he reaches the edge of the lake.

And I don't know if he's still a fool. That's up to you.

If there was no gravity then their would be no downword force on the football to have it return the the grownd, and if there was no friction (mainly air friction) then there would be no opposing force the stop the ball from moving through the air allowing the ball to travle ∞.