Explanation 1) Concept: There are three forces acting on the bubble – buoyant force ( F b ) , weight, and normal reaction. As the ball is stationary, net force acting on the ball is zero. Using this concept, we can find ( M b ) . 2) Formula: i) F n e t = 0 ii) F b = M b g = ρ b V b g iii) W = M b g iv) V = 4 3 π r 3 3) Given: i) Radius of the ball r = 2 × 10 - 2 m ii) N = 9.48 × 10 - 2 N iii) Density of milk ( ρ _ m ) = 1.03 g / c m 3 = 1030 k g / m 3 4) Calculations: Volume of the milk displaced by the ball (Vmilk) = Volume of the ball (Vb) V m i l k = 4 3 π r 3 V m i l k = 4 3 × 3

11th Edition

ISBN: 9781119573968

Author: David Halliday

Publisher: WILEY

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

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Chapter 14, Problem 77P

To determine

To find:

Mass of the ball (Mb)

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Chapter 14, Problem 76P

Chapter 14, Problem 78P

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Question 3 of 17 L X L L T 0.5/ In the figure above, three uniform thin rods, each of length L, form an inverted U. The vertical rods each have a mass m; the horizontal rod has a mass 3m. NOTE: Express your answer in terms of the variables given. (a) What is the x coordinate of the system's center of mass? xcom L 2 (b) What is the y coordinate of the system's center of mass? Ycom 45 L X Q Search MD bp N

Sketch the harmonic on graphing paper.

Exercise 1: (a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre- sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case j = 1. (b) Verify that they satisfy the so(3) Lie algebra commutation relation: [D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h). (c) Prove the identity 3 Dm'm,(Î²) = Σ (D(Î¡)D(Î¡))m'¡m; · i=1

Chapter 14 Solutions

Fundamentals Of Physics

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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