Two forces are pulling on an object. Force A has magnitude 50 newtons (N) and pulls at an angle of 40°, and Force B has magnitude 90 N and pulls at an angle of 140°, as shown. (Note that the lengths of the vectors show their magnitude.)
a. Find the x- and y-components of Force A.
b. Find the x- and y-components of Force B.
c. What is the sum of the x- and y-components of the two forces?
d. Using the Pythagorean Theorem, find the magnitude of the resulting force.
e. Find the angle of the resulting force. If your angle is negative, add 180° to get the direction.
f. What additional force will balance Forces A and B and keep the object in equilibrium? (It should be the same magnitude as the sum of Forces A and B, but in the opposite direction.)

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