Mathematics: A child pulls a wagon with a force of 40 lbs. The handle of the wagon makes a angle of 30� with the ground. Express the force vector F in terms i and j.

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A child pulls a wagon with a force of 40 lbs.

Ответ:

diylover020253

19.01.2022

Mathematics

Answer

$F=(20\sqrt{3}lbs)i+(20lbs)j$

Step-by-step explanation:

We have a force (F) of 40 lbs we must declare in terms of i, j

According to the graph

$F=Fx+Fy\\cos\alpha =\frac{Fx}{F} \\sin\alpha =\frac{Fy}{F}\\Fx=F*cos\alpha*i\\Fy=F*sin\alpha*j \\F=F*cos\alpha*i+F*sin\alpha*j\\F=40lbs*cos(30)i+40lbs*sin(30)j\\F=40lbs*\frac{\sqrt{3}}{2}i+40lbs*\frac{1}{2}j\\ F=(20\sqrt{3}lbs)i+(20lbs)j$

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A child pulls a wagon with a force of 40 lbs. The handle of the wagon makes a angle of 30� with the ground. Express the force vector F in terms i and j.

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