Explanation Given data: Length and diameter of the log are L and d , respectively and the log is in a floating condition. Formula used: The expression for weight of the system is: W = ρ body V body g Here, W , ρ body , V body and g are the weight of the body, the density of body, the volume of body and the acceleration due to gravity, respectively. The expression for buoyant force is, F b = ρ V g Here F b , ρ , g and V is the buoyancy force, the density of the fluid, the acceleration due to gravity and the volume of the fluid displaced, respectively. Acceleration due to gravity is 9.81 m / s 2 . Explanation: Consider, ρ f and ρ L as the density of fluid and log, respectively. Also, assume the log to be cylindrical in shape. Volume of cylindrical log is: V body = π 4 d 2 L Actual weight of the log can be calculated by using the expression for weight. Recall the expression for weight, W = ρ body V body g Substitute ρ L for ρ body and π 4 d 2 L for V body in the above expression, W = ( ρ L ) ( π 4 d 2 L ) g Net vertical downward force due to the weight of log and person is given by: W n e t = ( π 4 d 2 L g ρ L ) + ( m g ) Here, m is the mass of the person

College Physics: Explore And Apply, Volume 2 (2nd Edition)

2nd Edition

ISBN: 9780134862910

Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic

Publisher: PEARSON

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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 13, Problem 78P

To determine

The mass of a person who can stand on a floating log of length L and diameter d without getting their feet wet.

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Chapter 13, Problem 77P

Chapter 13, Problem 79P

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Chapter 13 Solutions

College Physics: Explore And Apply, Volume 2 (2nd Edition)

Ch. 13 - Review Question 13.1 How would you determine the...Ch. 13 - Prob. 2RQ Ch. 13 - Prob. 3RQ Ch. 13 - Prob. 4RQ Ch. 13 - Review Question 13.5 Why does a fluid exert an...Ch. 13 - Review Question 13.6 Two objects have the same...Ch. 13 - Rank in increasing order the pressure that the...Ch. 13 - 2. Choose a device that reduces the pressure...Ch. 13 - Prob. 3MCQ Ch. 13 - Prob. 4MCQ

Ch. 13 - Prob. 5MCQ Ch. 13 - How do we know that a fluid exerts an upward force...Ch. 13 - Prob. 7MCQ Ch. 13 - Prob. 8MCQ Ch. 13 - Prob. 9MCQ Ch. 13 - 10. A wooden cube is floating in a fish tank that...Ch. 13 - 11. Two identical beakers with the same amount of...Ch. 13 - A piece of steel and a bag of feathers are...Ch. 13 - A metal boat floats in a pool. What happens to the...Ch. 13 - When a boat sails from seawater to fresh water,...Ch. 13 - Three blocks are floating in oil as shown in...Ch. 13 - Prob. 16MCQ Ch. 13 - 17. Describe a method to measure the density of a...Ch. 13 - 18. How can you determine the density of air? Ch. 13 - 20. Does air exert a net upward force or a net...Ch. 13 - 21. What causes the pressure that air exerts on a...Ch. 13 - 22. Why. when you fill a teapot with water, is the...Ch. 13 - What experimental evidence supports Pascals first...Ch. 13 - Fill a plastic cup to the very top with water. Put...Ch. 13 - 25. Why does a fluid exert a net upward force on...Ch. 13 - Describe how you could predict whether an object...Ch. 13 - 27. Why can you lift objects while in water that...Ch. 13 - 28. When placed in a lake, a solid object either...Ch. 13 - 30. Ice floats in water in a beaker. Will the...Ch. 13 - Prob. 31CQ Ch. 13 - Why do people sink in fresh water and in most...Ch. 13 - 34. A bucket filled to the top with water has a...Ch. 13 - Marjory thinks that the mass of a fluid above a...Ch. 13 - Prob. 36CQ Ch. 13 - A bucket filled with water has a piece of ice...Ch. 13 - Prob. 39CQ Ch. 13 - Determine the average density of Earth. What data...Ch. 13 - Prob. 2P Ch. 13 - Prob. 3P Ch. 13 - * BIO A diet decreases a persons mass by 5%....Ch. 13 - Prob. 5P Ch. 13 - Prob. 6P Ch. 13 - 7. Imagine that you have gelatin cut into three...Ch. 13 - An object made of material A has a mass of 90 kg...Ch. 13 - You have a steel ball that has a mass of 6.0 kg...Ch. 13 - * A material is made of molecules of mass 2.0 x...Ch. 13 - 11. You compress all the molecules described in...Ch. 13 - Prob. 13P Ch. 13 - * Anita holds her physics textbook and complains...Ch. 13 - Prob. 15P Ch. 13 - Prob. 16P Ch. 13 - Hydraulic car lift You are designing a hydraulic...Ch. 13 - EST Force of air on forehead Estimate the force...Ch. 13 - You have a rubber pad with a handle attached to it...Ch. 13 - * EST Toy bow and arrow A child's toy arrow has a...Ch. 13 - Prob. 22P Ch. 13 - Prob. 23P Ch. 13 - Water reservoir and faucet The pressure at the top...Ch. 13 - Prob. 25P Ch. 13 - 26. BIOEST Blood pressure Estimate the pressure of...Ch. 13 - Prob. 27P Ch. 13 - 28. * Mountain climbing Determine the change in...Ch. 13 - Prob. 29P Ch. 13 - 30. * A truck transporting chemicals has crashed,...Ch. 13 - 31. Drinking through a straw You are drinking...Ch. 13 - * More straw drinking While you are drinking...Ch. 13 - Prob. 33P Ch. 13 - 34. * BIO EST Eardrum Estimate the net force on...Ch. 13 - 35. BIO Eardrum again You now go snorkeling. What...Ch. 13 - 36. Water and oil are poured into opposite sides...Ch. 13 - 37. * Examine the vertical cross section of the...Ch. 13 - 38. * A test tube of length L and cross-sectional...Ch. 13 - 39. Half of a 20-cm-tall beaker is filled with...Ch. 13 - Blaise Pascal found a seemingly paradoxical...Ch. 13 - 41. Four containers are filled with different...Ch. 13 - Prob. 42P Ch. 13 - The reading of a barometer in your room in 780 mm...Ch. 13 - How long would Torricellis barometer have had to...Ch. 13 - Prob. 45P Ch. 13 - Prob. 46P Ch. 13 - Prob. 47P Ch. 13 - Prob. 48P Ch. 13 - Draw a force diagram for an object that is...Ch. 13 - 50. Draw a cubic object that is completely...Ch. 13 - Prob. 51P Ch. 13 - * Four cubes of the same volume are made of...Ch. 13 - 53. * You place four identical cubes made of oak ...Ch. 13 - kg/m3) reaches the 10-cm mark. You place an oak...Ch. 13 - 55. * A 30-g ball with volume is attached to the...Ch. 13 - Prob. 57P Ch. 13 - Prob. 58P Ch. 13 - 59. * You have four objects at rest, each of the...Ch. 13 - Prob. 60P Ch. 13 - Prob. 61P Ch. 13 - 62. * A pin through a hole in the middle supports...Ch. 13 - 63. * A meter stick is supported by a pin through...Ch. 13 - Goose on a lake A 3.6-kg goose floats on a lake...Ch. 13 - 1 floats in seawater of density 2. What fraction...Ch. 13 - 66 * Floating in seawater A person of average...Ch. 13 - kg/m3 when it is fully submerged in water of...Ch. 13 - 68. * Snorkeling A 60-kg snorkeler (including...Ch. 13 - 69. * A helium balloon of volume has a total mass...Ch. 13 - Prob. 70P Ch. 13 - Prob. 71P Ch. 13 - * Crown composition A crown is made of gold and...Ch. 13 - Prob. 73P Ch. 13 - Prob. 74P Ch. 13 - 75. * You hang a steel ball on a string above a...Ch. 13 - * One end of a light spring is attached to a...Ch. 13 - Prob. 77P Ch. 13 - Prob. 78P Ch. 13 - Prob. 79P Ch. 13 - EST Iceberg Icebergs are large pieces of...Ch. 13 - Prob. 81P Ch. 13 - 82 ** To increase the effect of the buoyant force...Ch. 13 - Prob. 83GP Ch. 13 - Prob. 84GP Ch. 13 - Prob. 85GP Ch. 13 - 86. * EST Bursting a wine barrel Pascal placed a...Ch. 13 - Prob. 87GP Ch. 13 - Prob. 88GP Ch. 13 - 90. ** You have an empty water bottle. Predict how...Ch. 13 - ** BIO Flexible bladder helps fish sink or rise A...Ch. 13 - * Plane lands on Nimitz aircraft carrier When a...Ch. 13 - Derive an equation for determining the unknown...Ch. 13 - Prob. 94RPP Ch. 13 - Prob. 95RPP Ch. 13 - 96. As Musimu descends, the buoyant force that the...Ch. 13 - Prob. 97RPP Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...Ch. 13 - Lakes freeze from top down we all know that ice...

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The mass of a person who can stand on a floating log of length L and diameter d without getting their feet wet.

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The mass of a person who can stand on a floating log of length L and diameter d without getting their feet wet.

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Chapter 13 Solutions