Hmm, I believe that translates to a question about Perpetual Motion:

When a cat is dropped, it always lands on its feet.
When toast is dropped it always lands buttered side down.

So if we strap giant slabs of hot buttered toast to the back of a hundred tethered cats; the two opposing forces will cause the cats to hover, spinning inches above the ground. Using the giant buttered toast/cat array, a high-speed monorail could easily link New York with Chicago.