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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Chapter 7, Problem 93A

a.

To determine

The period of Apollo 11 in minutes if it orbits the Moon at a height of 111km .

a.

Expert Solution
Check Mark

Answer to Problem 93A

  119.16min

Explanation of Solution

Given:

The Moon’s radius is 1738km .

The mass of the Moon is 7.3×1022kg .

Formula used:

Period of a Planet orbiting the Moon can be calculated as follows:

  T=2πr3GmM

Where, G is the gravitational constant, r is the orbital radius, and mM is the mass of the Moon.

Calculation:

It is known that the value of gravitational constant is,

  G=6.67×1011N.m2/kg2

Now, the orbital radius of Apollo 11 will be,

  r=RM+h=(1738+111)km=1849km

Then using the given values of mass of the Moon and the orbital radius of the Apollo 11, the time period of Apollo 11 will be,

  T=2π(1.849×106)3(6.67×1011)(7.3×1022)=2π(1.139×103)=7.15×103×1min60s=119.16min

Conclusion:

Thus, the time period of Apollo 11 is 119.16min .

b.

To determine

The velocity with which Apollo 11 orbits the Moon.

b.

Expert Solution
Check Mark

Answer to Problem 93A

  1.62×103m/s

Explanation of Solution

Given:

The Moon’s radius is 1738km .

The mass of the Moon is 7.3×1022kg .

Formula used:

The speed of an object in circular orbit is

  v=GmMr

Where, G is the gravitational constant, r is the orbital radius, and mM is the mass of the Moon.

Calculation:

The value of gravitational constant is,

  G=6.67×1011N.m2/kg2

Using the given values in above formula, the velocity of Apollo 11 will be

  v=GmMr=(6.67×1011)(7.3×1022)(1.849×106)=1.62×103m/s

Conclusion:

Thus, the orbital velocity of Apollo 11 is 1.62×103m/s .

Chapter 7 Solutions

Glencoe Physics: Principles and Problems, Student Edition

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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