Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40º south of west, and then leg A, which is 12.0 m in a direction exactly 20º west of north. (This problem shows that A + B = B + A.)

Reference Problem:

Suppose you first walk 12.0 m in a direction 20º west of north and then 20.0 m in a direction 40.0º south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B , as in Figure 3.56, then this problem finds their sum R = A + B .)

Solution 6PE

Step 1 of 5</p>

The first walk leg B makes to a distance in the direction of south of west and the second leg A which makes a distance in the direction of west of north. Here we need to calculate the magnitude of resultant of this two leg walks .

This problem can be solved using vector addition.

Step 2 of 5</p>

As given, the first leg B makes to a distance in the direction of south of west. Hence, as shown in the figure below the makes an angle with horizontal axis.

Step 3 of 5</p>

Similarly the second leg A which makes a distance in the direction of west of north.Hence, as shown in the figure below the makes an angle with vertical axis.