You are in charge of a robotic spaceship (mass m.) that is exploring two close planets (X and Y). The distance between the center of planet X and the center of planet Y is 6s. The mass of planet Y
is four times larger than the mass of planet X (mx). Your spaceship is located at a point in between
the two planets such that the net gravitational force on the spaceship is equal to zero.
A. Is your spaceship closer to planet X, closer to planet Y, or exactly halfway in between?
You order your spaceship to move toward planet Y. Consider the system of the spaceship, planet
X, and planet Y
B. Does the gravitational potential energy of the system increase, decrease, or stay the same as
the spaceship moves toward planet Y?
Eventually, you order the spaceship to land on planet Y, which has a radius of s.
C. Determine the net gravitational force (magnitude and direction!) acting on the spaceship at
this point