Problem 9-56 Vector Gravitational Field - Part 2 - C

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.

Diagram of space probe.

Accumulated Solution

Diagram of space probe.

\(g = GM/r^2\)


In our chosen coordinate system what are the \(x\) and \(y\) components of \(g\)?

Solution \(g_x\) \(g_y\)
(A) \(-g_e - g_e \sin18\) \(0- g_m \cos18\)
(B) \(g_e - g_e \sin18\) \(0+ g_m \cos18\)
(C) \(g_e + g_e \sin72\) \(0- g_m \cos72\)
(D) \(-g_e - g_e \sin72\) \(0+ g_m \sin72\)