FLOATING AND DIVING PARADOXES
Here is a twist on the [space ball] problem, this time on Earth.
Question. A toy boat bobs at one end of a tub with water. The tub is mounted on perfectly frictionless wheels and stands on a perfectly smooth floor. All is at rest. Using the remote control, you make the boat travel from one end of the tub to the other. Gradually all motion stops. Which way did the tub move from its initial position?
The masses of the boat and of the tub are m and M, respectively; the length of the tub is L.
Figure 4.1. How far will the tub move after the boat travels from left to