Practice Test 6

A geostationary satellite of mass $m = 2.0 \times 10^{3}\ \text{kg}$ orbits Earth at an orbital radius (center to center) of $r = 4.2 \times 10^{7}\ \text{m}$. Use $M_E = 6.0 \times 10^{24}\ \text{kg}$ and $G = 6.67 \times 10^{-11}\ \text{N}\cdot\text{m}^2/\text{kg}^2$. What is the magnitude of the gravitational force on the satellite?

In the Earth–Moon system, take $M_E = 6.0 \times 10^{24}\ \text{kg}$, $M_{\text{Moon}} = 7.3 \times 10^{22}\ \text{kg}$, and the center-to-center distance as $r = 3.8 \times 10^8\ \text{m}$. Using $G = 6.67 \times 10^{-11}\ \text{N·m}^2/\text{kg}^2$, what is the magnitude of the gravitational force between Earth and the Moon?