A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1250 pounds in a wes

Question

A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1250 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 2650 pounds in a northerly direction. What is the magnitude of the resultant force upon the piling, to the nearest ten pounds? a. 2340 lbs. c. 3900 lbs. b. 2670 lbs. d. 2930 lbs.]

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Nho 3 years 2021-09-05T16:16:58+00:00 1 Answers 36 views 0

Answers ( )

  1. RuslanHeatt
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    2021-09-05T16:18:07+00:00
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    Answer:

    (d) 2930 lbs

    Explanation:

    Given:

    Force acting in the westerly direction is, F_w=1250\ pounds

    Force acting in the northerly direction is, F_n=2650\ pounds

    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:

    R=\sqrt{F_w^2+F_n^2}

    Plug in the given values and solve for resultant ‘R’. This gives,

    R=\sqrt{(1250)^2+(2650)^2}\\\\R=\sqrt{1562500+7022500}\\\\R=\sqrt{8585000}\\\\R=2930.017\approx2930\ lbs(To\ the\ nearest\ ten\ pounds)

    Therefore, the magnitude of the resultant force upon the piling is 2930 lbs.

    So, option (d) is correct.

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