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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Eirian 5 years 2021-08-28T16:02:32+00:00 2 Answers 15 views 0

Answers ( )

  1. Neala
    0
    2021-08-28T16:03:37+00:00
    Reply

    Answer:

    Option d is correct.

    The magnitude of the resultant force upon the piling = 2930 lbs.

    Explanation:

    Resultant of a group of forces = vector sum of the forces.

    Force 1 = (-1250î) lbs

    Force 2 = (2650j) lbs

    Resultant = (-1250î + 2650j) lbs

    The magnitude of the resultant = √[(-1250)² + (2650)²] = 2930 lbs.

    Or in visualization method, the two forces presented form a right angled triangle with the resultant of the two forces.

    Hence, using Pythagoras theorem,

    F₁² + F₂² = R²

    (1250)² + (2650)² = R²

    R = √[(1250)² + (2650)²] = 2930 lbs.

  2. Cherry
    0
    2021-08-28T16:04:03+00:00
    Reply

    Answer:

    Option D 2930 lbs

    EDGE 2021

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