Answer
See the detailed answer below.
Work Step by Step
To solve this problem, we need to use table 13.2 data.
From the given formula we can see that the first term is the universal gravitational constant, the second term is the mass of the Earth, the third is the mass of a satellite that is orbiting the Earth, and the fourth is its speed.
a) What is the distance from the center of the Earth to a 1000-kg satellite that is orbiting around the Earth at a speed of 1997 m/s?
b) See the figure below.
c) Solving for $r$;
$$r= \dfrac{(6.67\times10^{-11})(5.98\times 10^{24}) }{(1997)^2} $$
$$r=\color{red}{\bf 1.00\times 10^8}\;\rm m$$