As shown in the figure, three force vectors act on an object. The magnitudes of the forces as shown in the figure are F₁ = 80.0 N, F₂ = 60.0 N, and F₃ = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by A) 180 N at an angle 60.0° with respect to +x-axis. B) 60.0 N at an angle 90.0° with respect to +x-axis. C) 20.0 N at an angle 34.3° with respect to +x-axis. D) 35.5 N at an angle 34.3° with respect to +x-axis. E) 40.0 N at an angle 60.0° with respect to +x-axis.

Question

Quizplus · Accepted Answer

By using the graphical method, we can draw the vectors to scale and draw the resultant vector as the vector that connects the tail of the first vector to the head of the last vector. Then, we can measure the magnitude and direction of the resultant vector with a ruler and protractor. When we do this, we find that the magnitude of the resultant vector is approximately 35.5 N and that its angle with respect to the positive x-axis is approximately 34.3°. Therefore, the best answer is (D).

As Shown in the Figure, Three Force Vectors Act on an Object