Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Units and Dimensions
These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.
Question
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Chapter 7, Problem 41A

a.

To determine

The mass of the Earth.

a.

Expert Solution
Check Mark

Answer to Problem 41A

  6.018×1024 kg

Explanation of Solution

Given:

The radius of Earth is 6.4×106 m .

Mass, m=1.0 kg

Weight, w=9.8 N

Formula used:

Gravitational force:

  F=Gm1m2r2

Where, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the masses.

Calculation:

The value of gravitational constant is:

  G=6.67×10−11 N.m2/kg2

Now, the gravitational attractive force exerted on the given mass by the Earth will be equal to the weight of the mass on Earth’s surface. Then using the given values of the mass and the radius of the Earth, the mass of the Earth will be,

  F=GmEmr29.8=6.67×10−11×mE​×1.0(6.4×106)2mE=6.018×1024 kg

Conclusion:

Thus, the mass of the Earth is 6.018×1024 kg .

b.

To determine

The average density of the Earth.

b.

Expert Solution
Check Mark

Answer to Problem 41A

  5.4×103 kg/m3

Explanation of Solution

Given:

The radius of Earth is 6.4×106 m .

From part (a), the mass of the Earth is 6.018×1024 kg .

Formula used:

  Density = MassVolume

Calculation:

The volume of the Earth will be,

  V=43πr3Earth

Then, the density of the Earth will be,

  Density = (Mass)EarthVolume=6.018×102443π(6.4×106)3=5.4×103 kg/m3

Conclusion:

Thus, the average density of the Earth is 5.4×103 kg/m3 .

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Chapter 7 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 7.1 - Prob. 1PPCh. 7.1 - Prob. 2PPCh. 7.1 - Prob. 3PPCh. 7.1 - Prob. 4PPCh. 7.1 - Prob. 5PPCh. 7.1 - Prob. 6PPCh. 7.1 - Prob. 7PPCh. 7.1 - Prob. 8SSCCh. 7.1 - Prob. 9SSCCh. 7.1 - Prob. 10SSC
Ch. 7.1 - Prob. 11SSCCh. 7.1 - Prob. 12SSCCh. 7.1 - Prob. 13SSCCh. 7.2 - Prob. 14PPCh. 7.2 - Prob. 15PPCh. 7.2 - Prob. 16PPCh. 7.2 - Prob. 17PPCh. 7.2 - Prob. 18SSCCh. 7.2 - Prob. 19SSCCh. 7.2 - Prob. 20SSCCh. 7.2 - Prob. 21SSCCh. 7.2 - Prob. 22SSCCh. 7.2 - Prob. 23SSCCh. 7.2 - Prob. 24SSCCh. 7.2 - Prob. 25SSCCh. 7 - Prob. 26ACh. 7 - Prob. 27ACh. 7 - Prob. 28ACh. 7 - Prob. 29ACh. 7 - Prob. 30ACh. 7 - Prob. 31ACh. 7 - Prob. 32ACh. 7 - Prob. 33ACh. 7 - Prob. 34ACh. 7 - Prob. 35ACh. 7 - Prob. 36ACh. 7 - Prob. 37ACh. 7 - Prob. 38ACh. 7 - Prob. 39ACh. 7 - Prob. 40ACh. 7 - Prob. 41ACh. 7 - Prob. 42ACh. 7 - Prob. 43ACh. 7 - Prob. 44ACh. 7 - Prob. 45ACh. 7 - Prob. 46ACh. 7 - Prob. 47ACh. 7 - Prob. 48ACh. 7 - Prob. 49ACh. 7 - Prob. 50ACh. 7 - Prob. 51ACh. 7 - Prob. 52ACh. 7 - Prob. 53ACh. 7 - Prob. 54ACh. 7 - Prob. 55ACh. 7 - Prob. 56ACh. 7 - Prob. 57ACh. 7 - Prob. 58ACh. 7 - Prob. 59ACh. 7 - Prob. 60ACh. 7 - Prob. 61ACh. 7 - Prob. 62ACh. 7 - Prob. 63ACh. 7 - Prob. 64ACh. 7 - Prob. 65ACh. 7 - Prob. 66ACh. 7 - Prob. 67ACh. 7 - Prob. 68ACh. 7 - Prob. 69ACh. 7 - Prob. 70ACh. 7 - Prob. 71ACh. 7 - Prob. 72ACh. 7 - Prob. 73ACh. 7 - Prob. 74ACh. 7 - Prob. 75ACh. 7 - Prob. 76ACh. 7 - Prob. 77ACh. 7 - Prob. 78ACh. 7 - Prob. 79ACh. 7 - Prob. 80ACh. 7 - Prob. 81ACh. 7 - Prob. 82ACh. 7 - Prob. 83ACh. 7 - Prob. 84ACh. 7 - Prob. 85ACh. 7 - Prob. 86ACh. 7 - Prob. 87ACh. 7 - Prob. 88ACh. 7 - Prob. 89ACh. 7 - Prob. 90ACh. 7 - Prob. 91ACh. 7 - Prob. 92ACh. 7 - Prob. 93ACh. 7 - Prob. 94ACh. 7 - Prob. 95ACh. 7 - Prob. 96ACh. 7 - Prob. 98ACh. 7 - Prob. 99ACh. 7 - Prob. 100ACh. 7 - Prob. 101ACh. 7 - Prob. 102ACh. 7 - Prob. 103ACh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STP

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