Question

Consider the following 4 force vectors:

50.0 Newton's, due east

10.0 Newton's, due east

40.0 Newton's, due west

30.0 Newton's, due west

Which 2 vectors add together to give a resultant with the smallest magnitude and which 2 vectors add to give a resultant with the largest magnitude ? In each case for specify the magnitude and direction of the resident resilient.

Step 1

Let us consider a force vector acting along east as positive and that acting along west as negative.

Then, F1= 50 N

F2=10 N

F3=-40 N

F4=-30 N

Step 2

Findining 2 forces whose combination has the i) smallest magnitude and 2) largest magnitude:

We find that F1 and F3 together have a magni...

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