Give me a solved exercise in hydrodynamics using integrals

(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) 40. Six hollow cylinders having diameters D and heights h are filled with water. The cylinders all have a hole drilled in their sides; the holes are all me same size and are all located at the same height above the bases of the cylinders. The holes are plugged with rubber stoppers, The values of D and k for the six cylinders are provided. Rank the combinations according to the pressure excited by the water on the stopper from largest to smallest. If two (or more) combinations yield the same pressure, give them the same ranking. Explain the reasoning you used in arriving at your rankings. (a) D = 0.25 m; k = 0.40 m. (b) D = 0.20 in; h = 0,50 m. (c) D = 0.50 m; h = 0.35 m. (d) D = 0.25 m; h = 0.35 m. (e) D = 0.40 m; h = 0.50 m. (f) D = 0.25 m; h = 0.60 m.

(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) What is the difference between a mixture of two elements and a compound farmed from the two elements?

What physical characteristic distinguishes a fluid from a solid?

What is the density of 18.0-karat gold that is a mixture of 18 parts gold, 5 parts silver, and 1 part copper? (These value are parts by mass, not volume.) Assume that this is a simple mixture having an average density equal to the weighted densities of its constituents.

(¦ Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) . Air is allowed to escape from an inflated tire. Is the Temperature of the escaping air higher than, lower than, or equal to the temperature of the air inside the tire? Why?

(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.) Describe the four phases of matter. Compare their external, observable properties. Compare the nature of the forces between atoms or molecules (or both) in the solid, liquid, and gas phases.

When exactly 1 cup of sugar is dissolved in exactly 1 cup of water, less than 2 cups of solution result Why?

Place two cans of soft drinks, one regular and one diet, in a container of water. You will find that the diet drink floats while the regular one sinks. Use Archimedes principle to devise an explanation. Broad Hint: The artificial sweetener used in diet drinks is less dense I than sugar.

Estimate the number of molecules that make up Earth, assuming an average molecular mass of 30 g/mol. (Note there are on the order of 1024 objects per mole.)