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

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.