Answer:
(d) 2930 lbs
Explanation:
Given:
Force acting in the westerly direction is, [tex]F_w=1250\ pounds[/tex]
Force acting in the northerly direction is, [tex]F_n=2650\ pounds[/tex]
Now, as the two given directions are at right angles to each other, the angle between the two force vectors is 90 degrees.
So, when two vectors are at right angles, their resultant magnitude is given as:
[tex]R=\sqrt{F_w^2+F_n^2}[/tex]
Plug in the given values and solve for resultant 'R'. This gives,
[tex]R=\sqrt{(1250)^2+(2650)^2}\\\\R=\sqrt{1562500+7022500}\\\\R=\sqrt{8585000}\\\\R=2930.017\approx2930\ lbs(To\ the\ nearest\ ten\ pounds)[/tex]
Therefore, the magnitude of the resultant force upon the piling is 2930 lbs.
So, option (d) is correct.
