The following force vectors act on an object: i)55.0 newtons at 45.0° north of east and ii)25.0 newtons at 30.0° south of east.Which of the following represents the magnitude of the resultant and its angle relative to the easterly direction?

A) 80.0 newtons 7.50°
B) 66 newtons 23.6°
C) 66 newtons 71.5°
D) 54.2 newtons 56.8°
E) 79.4 newtons 40.3°

Question

The following force vectors act on an object: i)55.0 newtons at 45.0° north of east and ii)25.0 newtons at 30.0° south of east.Which of the following represents the magnitude of the resultant and its angle relative to the easterly direction?
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A) 80.0 newtons 7.50°
B) 66 newtons 23.6°
C) 66 newtons 71.5°
D) ​54.2 newtons 56.8°
E) ​79.4 newtons 40.3°

Quizplus · Accepted Answer

The resultant vector is calculated by breaking each force into its components, summing them, and then finding the magnitude and direction. The resultant magnitude is approximately 66 newtons, and the angle relative to the easterly direction is about 23.6°.

The Following Force Vectors Act on an Object: I)55