Explanation Section (1): To determine: The volume of water displaced by the barge. Answer: The volume of water displaced by the barge is 1.056 × 10 4 kg . Given data: The thickness of the steel barge is 4 cm , the length of the steel barge is 40 m , the breadth of the steel barge is 22 m , the height of the steel barge is 12 m , the density of fresh water is 1000 kg/m 3 , the density of steel is 7800 kg/m 3 and the density of the coal is 1500 kg/m 3 . Formula to calculate the volume of cargo area of the barge is, V b = l b h V b is the volume of cargo area of the barge l is the length of the barge b is the breadth of the barge h is the height of the barge Conclusion: Substitute 40 m for l , 22 m for b and 12 m for h to find V b , V b = ( 40 m ) ( 22 m ) ( 12 m ) = 1.056 × 10 4 kg Therefore, the mass of water displaced by the barge is 1.056 × 10 4 kg . Section (2): To determine: The mass of water displaced by the barge. Answer: The mass of water displaced by the barge is 1.056 × 10 7 kg . Given data: The thickness of the steel barge is 4 cm , the length of the steel barge is 40 m , the breadth of the steel barge is 22 m , the height of the steel barge is 12 m , the density of fresh water is 1000 kg/m 3 , the density of steel is 7800 kg/m 3 and the density of the coal is 1500 kg/m 3 . Formula to calculate the mass of the water displaced by the barge is, m w = ρ w V b ρ w is the density of the water m w is the mass of the water displaced by the barge Conclusion: Substitute 1.056 × 10 4 kg for V b and 1000 kg/m 3 for ρ w to find m w , m w = ( 1.056 × 10 4 kg ) ( 1000 kg/m 3 ) = 1.056 × 10 7 kg Therefore, the mass of water displaced by the barge is 1.056 × 10 7 kg . Section (3): To determine: The mass of the barge. Answer: The mass of the barge is 7.39 × 10 5 kg . Given data: The thickness of the steel barge is 4 cm , the length of the steel barge is 40 m , the breadth of the steel barge is 22 m , the height of the steel barge is 12 m , the density of fresh water is 1000 kg/m 3 , the density of steel is 7800 kg/m 3 and the density of the coal is 1500 kg/m 3

University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)

14th Edition

ISBN: 9780321982582

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

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Chapter 12, Problem 12.63P

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The mass of coal can the steel barge carry without sinking.

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Chapter 12, Problem 12.62P

Chapter 12, Problem 12.64P

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University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)

Ch. 12.1 - Rank the following objects in order from highest...Ch. 12.2 - Mercury is less dense at high temperatures than at...Ch. 12.3 - You place a container of seawater on a scale and...Ch. 12.4 - A maintenance crew is working on a section of a...Ch. 12.5 - Which is the most accurate statement of Bernoullis...Ch. 12.6 - How much more thumb pressure must a nurse use to...Ch. 12 - A cube of oak wood with very smooth faces normally...Ch. 12 - A rubber hose is attached to a funnel, and the...Ch. 12 - Comparing Example 12.1 (Section 12.1) and Example...Ch. 12 - Prob. 12.4DQ

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