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Chapter 14: Q.4 (page 383)
A 6.0 m * 12.0 m swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. What is the mass of water in the pool?
Mass of water in the pool is 1.44 x 105 kg.
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A plastic "boat" with a square cross section floats in a liquid. One by one, you place masses inside the boat and measure how far the boat extends below the surface. Your data are as follows:
Draw an appropriate graph of the data and, from the slope and intercept of the best-fit line, determine the mass of the boat and the density of the liquid.
A long horizontal tube has a square cross-section with sides of width .
A fluid moves through the tube with speed . The tube then changes to a circular cross-section with a diameter. What is the fluid's speed in the circular part of the tube?
a. 50 g of gasoline are mixed with 50 g of water. What is the average density of the mixture?
b. 50 cm3 of gasoline are mixed with 50 cm3 of water. What is the average density of the mixture?
A pipe widens to , then narrows to . Liquid flows through the first segment at a speed of.
a. What is the speed in the second and third segments?
b. What is the volume flow rate through the pipe?
In , a cone of density and total height localid="1648200296554" floats in a liquid of density . The height of the cone above the liquid is . What is the ratio of the exposed height to the total height?
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