124s09-exam1

Consider a steady laminar flow of an incompressible

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11. Consider a steady laminar flow of an incompressible water ( ρ =1000kg/m 3 ) in a horizontal pipe with changing cross-sectional area (see Figure 5). Area 1 is 2m 2 , area 2 is 0.5m 2 , and the flow speed at point A is 1m/s. Find the pressure difference between points A and B. a) 1.5 × 10 3 Pa b) -1.5 × 10 3 Pa c) 7.5 × 10 3 Pa d) -7.5 × 10 3 Pa e) 1.5 × 10 4 Pa 12. Consider the following statement: The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same total volume as the object. Under what circumstances is this statement true? 13. A flask of water rests on a scale that reads 100 N (see Figure 6). Then, a small block is held completely submerged in the water. The block does not touch any part of the flask, and the person holding the block will not tell you whether the block is being pulled up (keeping it from falling further) or pushed down (keeping it from bobbing back up). What is the new reading on the scale? a) greater than 100 N b) 100 N c) between 0 N and 100 N d) less than 0 N e) it is impossible to determine.

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14. An ice cube floats in a glass filled to the top with water. What happens when the ice cube melts? 15. In Figure 7, an evacuated bell jar is separated from the base plate by a rubber gasket. What is the total force bearing down on the gasket if the outer radius of the bell jar R is 0.1m, and the gaskets width w is much smaller than R ? Neglect the weight of the glass; the atmospheric pressure is 10 5 Pa.
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