1. From the lab, you know that the speed of sound v=331.4m/s+0.6m/(s?)·T, where T is the current temperature. If you measure the wavelength of a 440 Hz sound wave to be .80364 m (the sound wave is moving through air), what is the current temperature?
2. A container is filled halfway up with water, after which it is filled the rest of the way up with oil. Because the liquids have different densities, the water and oil will not mix, so that the oil will sit in a layer on top of the water. You then drop an object with a volume of 80 cm^3 and a mass of .0768 kg into the container. Explain shortly what will happen to the object (i.e., whether it sinks or floats), why this happens, and show calculations to support your answer. (This need not be an essay or even complete sentences; as long as you include all relevant information in a clear format, it will be good.)
3. Water flows in a pipe. At first, the pipe has a diameter of .35 m and the water through the pipe has a velocity of 2.2 m/s. Then the pipe widens so that it now has a diameter of .84 m. What is the velocity of the water in the larger pipe? Assume the flow is incompressible and is not viscous.
4. You are using the pressure from a jet of water to maintain the height of a column of water in a tube at 1.8 m. How fast is the water in the jet moving? Use the pressure (energy density) equation used in the lab.
5. A ship has a mass of 125000 kg and a volume of 350 m^3. How much cargo (in kg) can the ship carry before it sinks?