Question

A thick sheet of Styrofoam is bonded to a much thinner metal plate for a project in your engineering group. This object will float in water, and there is an argument in the group about how high in the water the composite sheet will float. Some say it will float higher depending on whether the metal side is on the bottom or on the top. What do you think? Does it make a difference and if so, show what on the top will make it float higher. If not, show why it makes no difference.

A long vertical tube of diameter d and length L has a flanged end of diameter D sitting height h above a horizontal flat surface; h is so much shorter that L that the difference can be neglected. Suppose the tube has been filled with water and capped, and then the cap is released so that the fluid flows down the tube and out the bottom. When it is going a speed v1 in the vertical tube a distance x from the top, at what speed v2 is the fluid flowing as it leaves between the flanged area and the flat surface? Provide an algebraic expression.

Answer 1

Solution in the uploaded image