PhysicsLAB: 2007 B4

The large container shown in the cross section above is filled with a liquid of density 1.1 x 10³ kg/m³ . A small hole of area 2.5 x 10^-6 m² is opened in the side of the container a distance h below the liquid surface, which allows a stream of liquid to flow through the hole and into a beaker placed to the right of the container. At the same time, liquid is also added to the container at an appropriate rate so that h remains constant. The amount of liquid collected in the beaker in 2.0 minutes is 7.2 x 10^-4 m³.

	(a) Calculate the volume rate of flow of liquid from the hole in m³/sec.

	(b) Calculate the speed of the liquid as it exits from the hole.

	(c) Calculate the height h of liquid needed above the hole to cause the speed you determined in part (b).

	(d) Suppose that there is now less liquid in the container so that the height h is reduced to h/2. In relation to the container, where will the liquid hit the tabletop? Justify your answer.