Explanation 1) Concept: a) We can find the area of cross section of canal and area at point a. Then inserting these values in the continuity equation, we can find the speed of water alongside the boat at point a. Similarly, we can find the speed of water alongside the boat at point b. 2) Formula: A 1 v 1 = A 2 v 2 3) Given: i) The width of canal, D = 55 m ii) The width of barge, d = 30 m iii) The depth of canal, H = 14 m iv) The depth of barge in water, b = 55 m v) The uniform water speed of canal is v = 1.5 m s 4) Calculations: a) We have equation of continuity as A 1 v 1 = A 2 v 2 Rearranging this equation for v 2 , we get v 2 = A 1 v 1 A 2 The area of the cross-section of the canal is A 1 = H D = 55 × 14 A 1 = 770 m 2 From the figure, we can write for the area of the cross-section at point a as A 2 = A a = H - h D - ( b - h ) d A 2 = 14 - 0.80 ( 55 ) - 55 - 0

11th Edition

ISBN: 9781119573913

Author: Halliday

Publisher: WILEY

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Question

Chapter 14, Problem 49P

To determine

To find:

a) The speed of water alongside the boat at point a

b) The speed of water alongside the boat at point b.

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Chapter 14, Problem 48P

Chapter 14, Problem 50P

Chapter 14 Solutions

FUNDAMENTALS OF PHYSICS V.1

Ch. 14 - We fully submerge an irregular 3 kg lump of...Ch. 14 - Figure 14-21 shows four situations in which a red...Ch. 14 - A boat with an anchor on board floats in a...Ch. 14 - Figure 14-22 shows a tank filled with water. Five...Ch. 14 - The teapot effect. Water poured slowly from a...Ch. 14 - Figure 14-24 shows three identical open-top...Ch. 14 - Figure 14-25 shows four arrangements of pipes...Ch. 14 - A rectangular block is pushed face-down into three...Ch. 14 - Water flows smoothly in a horizontal pipe. Figure...Ch. 14 - We have three containers with different Liquids....

Ch. 14 - ILW A fish maintains its depth in fresh water by...Ch. 14 - A partially evacuated airtight container has a...Ch. 14 - SSM Find the pressure increase in the fluid in a...Ch. 14 - Three liquids that will not mix are poured into a...Ch. 14 - SSM An office window has dimensions 3.4 m by 2.1...Ch. 14 - Prob. 6P Ch. 14 - In 1654 Otto von Guericke, inventor of the air...Ch. 14 - The bends during flight. Anyone who scuba dives is...Ch. 14 - Blood pressure in Argentinosaurus. a If this...Ch. 14 - The plastic tube in Fig. 14-30 has a...Ch. 14 - Giraffe bending to drink. In a giraffe with its...Ch. 14 - The maximum depth dmax that a diver can snorkel is...Ch. 14 - At a depth of 10.5 km, the Challenger Deep in the...Ch. 14 - Calculate the hydrostatic difference in blood...Ch. 14 - What gauge pressure must a machine produce in...Ch. 14 - Snorkeling by humans and elephants. When a person...Ch. 14 - SSM Crew members attempt to escape from a damaged...Ch. 14 - In Fig. 14-32, an open tube of length L = 1.8 m...Ch. 14 - GO A large aquarium of height 5.00 m is filled...Ch. 14 - The L-shaped fish tank shown in Fig. 14-33 is...Ch. 14 - SSM Two identical cylindrical vessels with their...Ch. 14 - Prob. 22P Ch. 14 - GO In analyzing certain geological features, it is...Ch. 14 - GO In Fig. 14-35, water stands at depth D = 35.0 m...Ch. 14 - In one observation, the column in a mercury...Ch. 14 - To suck lemonade of density 1000 kg/m3 up a straw...Ch. 14 - SSM What would be the height of the atmosphere if...Ch. 14 - A piston of cross-sectional area a is used in a...Ch. 14 - In Fig 14-37, a spring of spring constant 3.00 ...Ch. 14 - A 5.00 kg object is released from rest while fully...Ch. 14 - SSM A block of wood floats in fresh water with...Ch. 14 - In Fig. 14-38, a cube of edge length L = 0.600 m...Ch. 14 - SSM An iron anchor of density 7870kg/m3 appears...Ch. 14 - A boat floating in fresh water displaces water...Ch. 14 - Three children, each of weight 356 N, make a log...Ch. 14 - GO In Fig. 14-39a, a rectangular block is...Ch. 14 - ILW A hollow spherical iron shell floats almost...Ch. 14 - GO A small solid ball is released from rest while...Ch. 14 - SSM WWW A hollow sphere of inner radius 8.0 cm and...Ch. 14 - Lurking alligators. An alligator waits for prey by...Ch. 14 - What fraction of the volume of an iceberg density...Ch. 14 - A Flotation device is in the shape of a right...Ch. 14 - When researchers find a reasonably complete fossil...Ch. 14 - A wood block mass 3.67 kg, density 600 kg/m3 is...Ch. 14 - GO An iron casting containing a number of cavities...Ch. 14 - GO Suppose that you release a small ball from rest...Ch. 14 - The volume of air space in the passenger...Ch. 14 - GO Figure 14-44 shows an iron ball suspended by...Ch. 14 - Prob. 49P Ch. 14 - Figure 14-46 shows two sections of an old pipe...Ch. 14 - SSM A garden hose with an internal diameter of 1.9...Ch. 14 - Two streams merge to form a river. One stream has...Ch. 14 - SSM Water is pumped steadily out of a flooded...Ch. 14 - GO The water flowing through a 1.9 cm inside...Ch. 14 - How much work is done by pressure in forcing 1.4...Ch. 14 - Suppose that two tanks, 1 and 2, each with a large...Ch. 14 - SSM A cylindrical tank with a large diameter is...Ch. 14 - The intake in Fig. 14-47 has cross-sectional area...Ch. 14 - SSM Water is moving with a speed of 5.0 m/s...Ch. 14 - Models of torpedoes are sometimes tested in a...Ch. 14 - ILW A water pipe having a 2.5 cm inside diameter...Ch. 14 - A pitot tube Fig. 14-48 is used to determine the...Ch. 14 - Prob. 63P Ch. 14 - GO In Fig. 14-49, water flows through a horizontal...Ch. 14 - SSM WWW A venturi meter is used to measure the...Ch. 14 - Consider the venturi tube of Problem 65 and Fig....Ch. 14 - ILW In Fig. 14-51, the fresh water behind a...Ch. 14 - GO Fresh water flows horizontally from pipe...Ch. 14 - A liquid of density 900 kg/m3 flows through a...Ch. 14 - GO In Fig. 14-53, water flows steadily from the...Ch. 14 - Figure 14-54 shows a stream of water flowing...Ch. 14 - GO A very simplified schematic of the rain...Ch. 14 - About one-third of the body of a person floating...Ch. 14 - A simple open U-tube contains mercury. When 11.2...Ch. 14 - If a bubble in sparkling water accelerates upward...Ch. 14 - Suppose that your body has a uniform density of...Ch. 14 - Prob. 77P Ch. 14 - Caught in an avalanche, a skier is fully submerged...Ch. 14 - An object hangs from a spring balance. The balance...Ch. 14 - In an experiment, a rectangular block with height...Ch. 14 - SSM Figure 14-30 shows a modified U-tube: the...Ch. 14 - What is the acceleration of a rising hot-air...Ch. 14 - Figure 14-56 shows a siphon, which is a device for...Ch. 14 - When you cough, you expel air at high speed...Ch. 14 - A tin can has a total volume of 1200 cm3 and a...Ch. 14 - The tension in a string holding a solid block...Ch. 14 - What is the minimum area in square meters of the...Ch. 14 - A 8.60 kg sphere of radius 6.22 cm is at a depth...Ch. 14 - a For seawater of density 1.03 g/cm3, find the...Ch. 14 - The sewage outlet of a house constructed on a...

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