Problem 9-56 Vector Gravitational Field - Part 3B - A

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 6.0x1024 kg and 7.4x1022 kg, respectively.

Diagram of space probe.

Accumulated Solution

Diagram of space probe.

\(g = GM/r^2 \\ g_x = -g_e - g_e \sin18\; \text{or}\; -g_e - g_e \cos 72 \\ g_y = 0- g_m \cos18\; \text{or}\; 0- g_m \sin 72\)


Before continuing, evaluate \(g_e\) and \(g_m\) . The value of \(G\) is \(6.7\times 10^{-11} Nm^2kg^{-2}\)