Earth and moon orbit the Sun while orbiting each other. At full moon, the moon and sun are on the opposite side of the earth while at the new moon the moon and sun are in the same direction. T exact alignment results in Lunar and Solar eclipse. The moon appears as a half-moon (called quarter position) when the line to the moon from earth makes a right angle to the line towards the Sun. Using the data on mass and distances from the inside cover of the textbook, calculate the net gravitational force (remember vector nature of forces) on the earth due to both moon and the Sun for the following geometry: 

(a) Full moon 

(b) New moon 

(c) quarter moon