PhysicsLAB: Test Scenario: Fluid Experiment Scenario

Refer to the following information for the next four questions.

This scenario is based on the AP Physics B 2007 FRQ 4.

The large container, shown above from its side, is filled with a liquid of density 1.0 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.

Based on the liquid collected in the beaker, what is the liquid's volume flow rate?

Determine the speed of the liquid as it exits from the hole.

What height h of liquid would be needed above the hole to produce the exit speed determined in your previous answer?

Suppose that there is now less liquid in the container so that the height h is reduced to h/2. In relation to the collection beaker, where will the liquid hit the tabletop?