I don't think the Bernoulli effect can explain an attraction in this geometry. I would look more at the friction from the water moving in the powerful eddy the jet sets up in the bucket. If this is correct, then a stick held in the center of the bucket near the hose should also be pulled in, and one held near the edge, where the water is rising will be pushed out. The force pushing the stick up should be somewhat smaller than that pulling it down because the friction with the wall and the greater area available will cause the upwelling to be slower than the downdraft. If the shape and size are similar, the stick should be pulled in with more force than the hose, because the centrifugal force of the water in the curved hose, which pushes it up, should still be there, cancelling some of the force of the circulating water on the hose. I would be surprised if the hose is actually pulled in, as opposed to be pushed out more weakly. Which way does it move when you let go of it?
--Art Carlson
