\textbf{162.} A satellite of mass $500\,\text{kg}$ orbits the Earth at an altitude of $1600\,\text{km}$ above the Earth's surface. How many newtons of gravitational force acts on the satellite?
$$\left(g = 10\,\frac{\text{m}}{\text{s}^2} \text{ and } R_e = 6400\,\text{km}\right)$$
\begin{itemize}
\item[(1)] $5000$
\item[(2)] $3700$
\item[(3)] $800$
\item[(4)] $640$
\end{itemize}
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