🚀 go-pugleaf

In article <l6h6h3INNo37@news.bbn.com> saustin@bbn.com (Steve Austin) writes:
>ttyytt@mixcom.com (Adam Costello) writes:
>
>->Here's another.  A man sitting in a boat on the lake pulls a plug
>->in the bottom of the boat.  The boat begins to sink slowly, and eventually
>->comes to rest on the bottom of the lake, completely submerged.  Describe
>->(qualitatively) the level of the lake as a function of the position of the
>->boat.
>
>Okey doke.  These things are real easy to do if you imagine special
>cases of boat and then rationalize that the shape of the boat does
>not matter to the problem.
>
>Imagine the lake was a cylinder filled with water and that the boat was
>cylinder with only slightly smaller diameter.  The boat it made with
>a thin foil that has non-negligible weight.  When the boat is placed
>into the lake, the water will shoot up the sides of the cylinder lake.
>When the boat is submerged the water level will be only slightly higher
>than it orininally was.
>
>When the boat is sinking, the water level will drop until the boat is
>submerged,  Thereafter there will be no change in the water level.

Almost.  The water level will not change while the boat is sinking, until
the water starts pouring into the boat over the side (as opposed to
coming in through the hole in the bottom).  Then the water level will go
down at the same rate as the boat, until the boat is full of water.

AMC