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Giancoli's Physics: Principles with Applications, 7th Edition
10
Fluids
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10-2: Density and Specific Gravity
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10-3 to 10-6: Pressure; Pascal's Principle
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10-7: Buoyancy and Archimedes' Principle
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10-8 to 10-10: Fluid Flow, Bernoulli's Equation
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10-11: Viscosity
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10-12: Flow in Tubes; Poiseuille's Equation
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10-13: Surface Tension and Capillarity
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10-14: Pumps; the Heart
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 30
Q

A scuba diver and her gear displace a volume of 69.6 L and have a total mass of 72.8 kg.

  1. What is the buoyant force on the diver in seawater?
  2. Will the diver sink or float?
A
  1. 699 N699 \textrm{ N}
  2. the diver will sink
Giancoli 7th Edition, Chapter 10, Problem 30 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The buoyant force that this diver experiences will be the density of sea water multiplied by the volume of sea water displaced which will be the volume of the diver times g and density of sea water is 1.025 times 10 to the 3 kilograms per cubic meter times 69.6 liters times 1.00 times 10 to the minus 3 cubic meters per liter— have to convert that into cubic meters there— and times by 9.8 newtons per kilogram and you get 699 newtons will be the buoyant force upwards. The force of gravity on the diver will be 72.8 kilograms times 9.8 newtons per kilogram which is 713 newtons down. So since gravity exceeds the buoyant force, the diver will sink although she will do so really slowly since the net force downwards is only 14 newtons.

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Giancoli Answers, including solutions and videos, is copyright © 2009-2024 Shaun Dychko, Vancouver, BC, Canada. Giancoli Answers is not affiliated with the textbook publisher. Book covers, titles, and author names appear for reference purposes only and are the property of their respective owners. Giancoli Answers is your best source for the 7th and 6th edition Giancoli physics solutions.