Problem 9-56 Vector Gravitational Field - Part 4B
A spaceprobe is at the position shown in the figure. Use components to determine the gravitational acceleration (magnitude and direction) of the probe due to the effects of the earth and moon. The masses of the earth and moon are \(6.0 \times10^{24}\; kg\) and \(7.4 \times 10^{22} \; kg\), respectively.
Accumulated Solution
\(g = GM/r^2 \\ g_x = -g_e - g_e \sin18\; \text{or}\; -g_e - g_e \cos 72 \\ g_y = 0- g_m \cos18\; \text{or}\; 0- g_m \sin 72\)
\(g_e = -2.28 \times 10^{-3} N/kg \\ g_m = -2.20 \times 10^{-4} N/kg\)
Before continuing, evaluate \(g_x\) and \(g_y\)