Newton's constant of gravitation  G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds.  The radius of Earth is approximately 6.378 ×106 m, and its mass is  5.97 × 1024 kg.  With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from   Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred km above the surface.  How fast would it have to go to stay in a circular orbit?       7.9 km/s, that is about 11.2 / √2.     11.2, the same as the escape velocity     15.8, that is 11.2 * √2.     5.6, half the escape velocity

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Topic Video
Question

Newton's constant of gravitation  G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds.  The radius of Earth is approximately 6.378 ×106 m, and its mass is  5.97 × 1024 kg.  With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from

 

Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred km above the surface.  How fast would it have to go to stay in a circular orbit?

 

   

7.9 km/s, that is about 11.2 / √2.

   

11.2, the same as the escape velocity

   

15.8, that is 11.2 * √2.

   

5.6, half the escape velocity

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
First law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON