Three horizontal forces (the only horizontal ones) act on a box sitting on a floor. One (call it F1) acts due east and has a magnitude of 150 lb. A second force (call it F2) has an easterly component of 30.0 lb and a southerly component of 40.0 lb. The box remains at rest. (Neglect friction.)
(a) Sketch the two known forces on the box. In which quadrant is the unknown third force: (1) the first quadrant; (2) the second quadrant; (3) the third quad-rant; or (4) the fourth quadrant?
(b) Find the unknown third force in newtons and compare your answer to the sketched estimate.