The net horizontal force on a box F as a function of the horizontal position 2 is shown below. ctia
Force (N)
40+
20-
Position (m
2
6
What is the work done on the box from 2 = 0 m to 4.0 m?

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