Solution Found!
a. At what height above the earth is the free-fall
Chapter 13, Problem 32P(choose chapter or problem)
Problem 32P
a. At what height above the earth is the free-fall acceleration 10% of its value at the surface?
b. What is the speed of a satellite orbiting at that height?
Questions & Answers
QUESTION:
Problem 32P
a. At what height above the earth is the free-fall acceleration 10% of its value at the surface?
b. What is the speed of a satellite orbiting at that height?
ANSWER:
Step 1 of 5
Part (a)
We are going to find the altitude where the acceleration due to gravity is 10 % of its original value \(\mathrm{g}\).
The radius of the Earth \(\mathrm{R}=6.37 \times 10^{6} \mathrm{~m}\)
The mass of the Earth \(\mathrm{M}=5.98 \times 10^{24} \mathrm{~kg}\)
The gravitational constant \(mathrm{G}=6.67 \times 10^{-11} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{kg}^{2}\)