lilacduck448Lv1
5 Nov 2021
Problem 28b
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
5 Nov 2021
Given information
The mass of the rocket is m, the mass of the planet is M, radius of the earth is R, The rocket’s final position is out of the earth’s gravitational field and The required work for propulsion is entirely provided by the initial kinetic energy 
where 
is the escape velocity.
Step-by-step explanation
Step 1.
The work needed to launch a satellite of mass m from the surface of the earth with radius R and mass M and place it in an orbit of radius r around the earth is given by 
.
The value of the final radius r is infinity because the satellite is far away from the earth and out of its gravitational field.
So, put 
to get the total work required to propel the rocket .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11b
- Problem 11b
- Problem 12
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39b
- Problem 39c
- Problem 39d
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51a
- Problem 51b
- Problem 52a
- Problem 52b
- Problem 52c