Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 13 - Gravitation - Problems - Page 381: 39a

Answer

$v = 1700~m/s$

Work Step by Step

We can write a general expression for the gravitational acceleration at the surface: $g = \frac{GM}{R^2}$ We can write a general expression for the escape speed: $v = \sqrt{\frac{2GM}{R}}$ We can find the escape speed: $v = \sqrt{\frac{2GM}{R}}$ $v = \sqrt{2~g~R}$ $v = \sqrt{(2)~(3.0~m/s^2)(5.0\times 10^5~m)}$ $v = 1700~m/s$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.