Find the net gravitational force fnet acting on the earth in the sun-earth-moon system during the full moon (when the earth is located directly between the moon and the sun).

568.98

explanation:

its math

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west