Discuss the below:
Analysis of Earth, Moon and Spacecraft system (gravity)
Q: At a certain instant, the earth, the moon, and a stationary 1470 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84 x 10^5 km in length.
a) Find the magnitude of the net gravitational force exerted on the spacecraft by the earth and moon. Find in N.
b) Find the direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from a line connecting the earth and the spacecraft. (in degrees)
c) What is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? You can ignore any gravitational effects due to the other planets or the sun. (in J)