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?
Answers
c^2 = a^2 + b^2
c^2 = (1250)^2 + (2650)^2
c = 2930.017 lbf
Therefore, the magnitude of the resultant force is approximately equal to 2930 lbf.
The magnitude of the resultant force is 2930 pounds.
What is the resultant force?
The resultant force is the single force that has the same effect as two or more forces acting together. Two forces that act in the same direction produce a resultant force that is larger than either individual force.
If one bulldozer exerts force in west direction of magnitude 1250 pounds and the other exerts a force in north direction of magnitude 2650 pounds .
let F= 1250 pounds and F
= 2650 pounds
Using magnitude,
|F|=√F²+ F
²
|F|= √1250²+2650²
= √1562500+7022500
=√2*2*5*5*5*5*5*5*5*5+2*2*5*5*5*5*53*53
=√2*2*5*5*5*5(5*5*5*5+53*53)
=50√3434
= 2930.017 pounds.
Hence, the magnitude of the resultant force is approximately equal to 2930 pounds.
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