Explanation As the acceleration due to gravity g is inversely proportional to the square of the distance r from the centre of the Earth , the equation for this inverse proportion is given by, g = k r 2 ... ( 1 ) It is given that, for the satellite at an altitude of 400 km the acceleration due to gravity is 8.7 m/s 2 . Therefore, the value of k is obtained by substituting the known values of altitude and acceleration due to gravity in the equation (1) as follows. 8.7 m/s 2 = k ( 6.4 × 10 6 m + 400 × 10 3 m ) 2 k = 8

11th Edition

ISBN: 9780134507095

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

See similar textbooks

Concept explainers

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

Chapter 18, Problem 66RE

To determine

The acceleration due to gravity g on a satellite around Earth if it is 1000 km above the surface.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 18, Problem 65RE

Chapter 18, Problem 67RE

Chapter 18 Solutions

EBK BASIC TECHNICAL MATHEMATICS WITH CA

Ch. 18.1 - Practice Exercise In a certain electric field a...Ch. 18.1 - Prob. 2PE Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E Ch. 18.1 - Prob. 7E Ch. 18.1 - Prob. 8E

Ch. 18.1 - Prob. 9E Ch. 18.1 - Prob. 10E Ch. 18.1 - Prob. 11E Ch. 18.1 - Prob. 12E Ch. 18.1 - Prob. 13E Ch. 18.1 - Prob. 14E Ch. 18.1 - Prob. 15E Ch. 18.1 - Prob. 16E Ch. 18.1 - In Exercises 11–26, find the required...Ch. 18.1 - Prob. 18E Ch. 18.1 - In Exercises 11–26, find the required...Ch. 18.1 - Prob. 20E Ch. 18.1 - Prob. 21E Ch. 18.1 - Prob. 22E Ch. 18.1 - Prob. 23E Ch. 18.1 - Prob. 24E Ch. 18.1 - Prob. 25E Ch. 18.1 - Prob. 26E Ch. 18.1 - Prob. 27E Ch. 18.1 - Prob. 28E Ch. 18.1 - Prob. 29E Ch. 18.1 - Prob. 30E Ch. 18.1 - Prob. 31E Ch. 18.1 - Prob. 32E Ch. 18.1 - Prob. 33E Ch. 18.1 - Prob. 34E Ch. 18.1 - Prob. 35E Ch. 18.1 - Prob. 36E Ch. 18.1 - Prob. 37E Ch. 18.1 - Prob. 38E Ch. 18.1 - Prob. 39E Ch. 18.1 - Prob. 40E Ch. 18.1 - Prob. 41E Ch. 18.1 - Prob. 42E Ch. 18.1 - Prob. 43E Ch. 18.1 - Prob. 44E Ch. 18.1 - Prob. 45E Ch. 18.1 - Prob. 46E Ch. 18.1 - Prob. 47E Ch. 18.1 - Prob. 48E Ch. 18.1 - Prob. 49E Ch. 18.1 - Prob. 50E Ch. 18.1 - Prob. 51E Ch. 18.1 - Prob. 52E Ch. 18.2 - Express the relationship that y varies directly as...Ch. 18.2 - Prob. 2PE Ch. 18.2 - Prob. 3PE Ch. 18.2 - Prob. 4PE Ch. 18.2 - Prob. 1E Ch. 18.2 - Prob. 2E Ch. 18.2 - Prob. 3E Ch. 18.2 - Prob. 4E Ch. 18.2 - Prob. 5E Ch. 18.2 - Prob. 6E Ch. 18.2 - Prob. 7E Ch. 18.2 - Prob. 8E Ch. 18.2 - Prob. 9E Ch. 18.2 - Prob. 10E Ch. 18.2 - Prob. 11E Ch. 18.2 - Prob. 12E Ch. 18.2 - Prob. 13E Ch. 18.2 - Prob. 14E Ch. 18.2 - Prob. 15E Ch. 18.2 - Prob. 16E Ch. 18.2 - Prob. 17E Ch. 18.2 - In Exercises 17–20, give the specific equation...Ch. 18.2 - Prob. 19E Ch. 18.2 - Prob. 20E Ch. 18.2 - Prob. 21E Ch. 18.2 - Prob. 22E Ch. 18.2 - Prob. 23E Ch. 18.2 - Prob. 24E Ch. 18.2 - Prob. 25E Ch. 18.2 - Prob. 26E Ch. 18.2 - Prob. 27E Ch. 18.2 - Prob. 28E Ch. 18.2 - Prob. 29E Ch. 18.2 - Prob. 30E Ch. 18.2 - Prob. 31E Ch. 18.2 - Prob. 32E Ch. 18.2 - Prob. 33E Ch. 18.2 - Prob. 34E Ch. 18.2 - Prob. 35E Ch. 18.2 - Prob. 36E Ch. 18.2 - Prob. 37E Ch. 18.2 - Prob. 38E Ch. 18.2 - Prob. 39E Ch. 18.2 - Prob. 40E Ch. 18.2 - Prob. 41E Ch. 18.2 - Prob. 42E Ch. 18.2 - Prob. 43E Ch. 18.2 - Prob. 44E Ch. 18.2 - In Exercises 31–64, solve the given applied...Ch. 18.2 - Prob. 46E Ch. 18.2 - Prob. 47E Ch. 18.2 - Prob. 48E Ch. 18.2 - Prob. 49E Ch. 18.2 - Prob. 50E Ch. 18.2 - Prob. 51E Ch. 18.2 - Prob. 52E Ch. 18.2 - Prob. 53E Ch. 18.2 - Prob. 54E Ch. 18.2 - Prob. 55E Ch. 18.2 - Prob. 56E Ch. 18.2 - Prob. 57E Ch. 18.2 - Prob. 58E Ch. 18.2 - Prob. 59E Ch. 18.2 - Prob. 60E Ch. 18.2 - Prob. 61E Ch. 18.2 - Prob. 62E Ch. 18.2 - Prob. 63E Ch. 18.2 - Prob. 64E Ch. 18 - Prob. 1RE Ch. 18 - Prob. 2RE Ch. 18 - Prob. 3RE Ch. 18 - Prob. 4RE Ch. 18 - Prob. 5RE Ch. 18 - Prob. 6RE Ch. 18 - Prob. 7RE Ch. 18 - Prob. 8RE Ch. 18 - Prob. 9RE Ch. 18 - Prob. 10RE Ch. 18 - Prob. 11RE Ch. 18 - Prob. 12RE Ch. 18 - Prob. 13RE Ch. 18 - Prob. 14RE Ch. 18 - Prob. 15RE Ch. 18 - Prob. 16RE Ch. 18 - Prob. 17RE Ch. 18 - Prob. 18RE Ch. 18 - Prob. 19RE Ch. 18 - Prob. 20RE Ch. 18 - Prob. 21RE Ch. 18 - In Exercises 21–36, answer the given questions by...Ch. 18 - Prob. 23RE Ch. 18 - Prob. 24RE Ch. 18 - Prob. 25RE Ch. 18 - Prob. 26RE Ch. 18 - Prob. 27RE Ch. 18 - Prob. 28RE Ch. 18 - Prob. 29RE Ch. 18 - Prob. 30RE Ch. 18 - Prob. 31RE Ch. 18 - Prob. 32RE Ch. 18 - Prob. 33RE Ch. 18 - Prob. 34RE Ch. 18 - Prob. 35RE Ch. 18 - Prob. 36RE Ch. 18 - Prob. 37RE Ch. 18 - Prob. 38RE Ch. 18 - Prob. 39RE Ch. 18 - Prob. 40RE Ch. 18 - Prob. 41RE Ch. 18 - Prob. 42RE Ch. 18 - Prob. 43RE Ch. 18 - Prob. 44RE Ch. 18 - Prob. 45RE Ch. 18 - Prob. 46RE Ch. 18 - Prob. 47RE Ch. 18 - Prob. 48RE Ch. 18 - Prob. 49RE Ch. 18 - Prob. 50RE Ch. 18 - Prob. 51RE Ch. 18 - Prob. 52RE Ch. 18 - Prob. 53RE Ch. 18 - Prob. 54RE Ch. 18 - Prob. 55RE Ch. 18 - In Exercises 41–82, solve the given applied...Ch. 18 - Prob. 57RE Ch. 18 - In Exercises 41–82, solve the given applied...Ch. 18 - Prob. 59RE Ch. 18 - Prob. 60RE Ch. 18 - Prob. 61RE Ch. 18 - Prob. 62RE Ch. 18 - Prob. 63RE Ch. 18 - Prob. 64RE Ch. 18 - Prob. 65RE Ch. 18 - Prob. 66RE Ch. 18 - Prob. 67RE Ch. 18 - Prob. 68RE Ch. 18 - Prob. 69RE Ch. 18 - Prob. 70RE Ch. 18 - Prob. 71RE Ch. 18 - Prob. 72RE Ch. 18 - Prob. 73RE Ch. 18 - Prob. 74RE Ch. 18 - Prob. 75RE Ch. 18 - Prob. 76RE Ch. 18 - Prob. 77RE Ch. 18 - Prob. 78RE Ch. 18 - Prob. 79RE Ch. 18 - Prob. 80RE Ch. 18 - Prob. 81RE Ch. 18 - Prob. 82RE Ch. 18 - Prob. 83RE Ch. 18 - Prob. 1PT Ch. 18 - Prob. 2PT Ch. 18 - Prob. 3PT Ch. 18 - Prob. 4PT Ch. 18 - Prob. 5PT Ch. 18 - Prob. 6PT Ch. 18 - Prob. 7PT

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Calculus Volume 1
Math
ISBN:9781938168024
Author:Strang, Gilbert
Publisher:OpenStax College
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education