As shown in the figure,three force vectors act on an object.The magnitudes of the forces as shown in the figure are = 80.0 N, = 60.0 N,and = 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

As shown in the figure,three force vectors act on an object.The magnitudes of the forces as shown in the figure are  = 80.0 N,  = 60.0 N,and  = 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.

Quizplus · Accepted Answer

To find the resultant force, we can use the vector addition method. This involves adding the three force vectors head-to-tail and drawing a line from the tail of the first vector to the head of the last vector. The line from the origin to the tip of this vector gives us the magnitude and direction of the resultant force.

Using this method, we can see that the three force vectors add up to a vector with a magnitude of approximately 35.5 N and an angle of approximately 34.3° with respect to the +x-axis. This matches option D. Note that options A and E are incorrect because they both give a magnitude of 180 N, which is greater than the sum of the magnitudes of the individual force vectors. Option B is also incorrect because it does not take into account the effects of the other two force vectors. Option C is also incorrect because it gives a magnitude that is smaller than any of the individual force vectors.

As Shown in the Figure,three Force Vectors Act on an Object.The