Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 10, Problem 27P
To determine

To Find: The likely identity of the metal for the given specifications.

Expert Solution & Answer
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Answer to Problem 27P

The element is iron .

Explanation of Solution

Given:

Apparent mass, Mapp=55.4kg

Actual mass, Msample=63.5kg

Formula used:

Write the expression for buoyant force.

  FB=mapparentgmmetalgmmetalg=mapparentgFB=mapparentgVmetal×ρwater×gmmetal=mapparentVmetal×ρwater=mapparentmmetalρmetal×ρwaterρmetal=mmetalmmetalmapparent×ρwater

Where ρmetal is density of the material

  ρwater is water density,

  mmetal is the actual mass of the metal,

  mapparent is its apparent mass,

  FB represents the buoyant force,

  g is the acceleration due to gravity.

Calculation:

Now, substitute the given values in the formula,

  ρmetal=mmetalmmetalmapparent×ρwater=63.563.555.4×1000=7839kg/m3

By comparing this density with given densities in the reference table, it is observed that the resulted element is iron.

Conclusion:

Therefore, the likely element is iron.

Chapter 10 Solutions

Physics: Principles with Applications

Ch. 10 - Prob. 11QCh. 10 - Prob. 12QCh. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 10 - Prob. 15QCh. 10 - Prob. 16QCh. 10 - Prob. 17QCh. 10 - Prob. 18QCh. 10 - Prob. 19QCh. 10 - Prob. 20QCh. 10 - Prob. 21QCh. 10 - Prob. 22QCh. 10 - Prob. 23QCh. 10 - Prob. 24QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50PCh. 10 - Prob. 51PCh. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63GPCh. 10 - Prob. 64GPCh. 10 - Prob. 65GPCh. 10 - Prob. 66GPCh. 10 - Prob. 67GPCh. 10 - Prob. 68GPCh. 10 - Prob. 69GPCh. 10 - Prob. 70GPCh. 10 - Prob. 71GPCh. 10 - Prob. 72GPCh. 10 - Prob. 73GPCh. 10 - Prob. 74GPCh. 10 - Prob. 75GPCh. 10 - Prob. 76GPCh. 10 - Prob. 77GPCh. 10 - Prob. 78GPCh. 10 - Prob. 79GPCh. 10 - Prob. 80GPCh. 10 - Prob. 81GPCh. 10 - Prob. 82GPCh. 10 - Prob. 83GPCh. 10 - Prob. 84GPCh. 10 - Prob. 85GPCh. 10 - Prob. 86GPCh. 10 - Prob. 87GPCh. 10 - Prob. 88GP
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