We know that F₁ has a magnitude of 50.0 N and acts at an angle of 45.0° with respect to the x-axis. We know that F₂ is along the x-axis with a magnitude of 75.0 N. third force, F3, that acts downward along the y-axis with a magnitude of 90 N. A fourth force is added with a magnitude of 25 N that makes an angle of 150° with the x-axis. F4 y F₁ F2 N X A free-body diagram on a coordinate plane such that the +y-direction points upward and +x- direction points rightward. F₁ acts horizontally to the left, A force labeled F₁ points up and to the right, a force labeled F2 points horizontally to the right, a force labeled F3 points vertically downward. a force labeled F4 up and to the left. What is the magnitude (in N) of the net force on the box?

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Chapter1: Units, Trigonometry. And Vectors
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We know that F₁ has a magnitude of 50.0 N and acts at an angle of 45.0° with respect to
the x-axis. We know that F₂ is along the x-axis with a magnitude of 75.0 N. A third
force, F3, that acts downward along the y-axis with a magnitude of 90 N. A fourth force is
added with a magnitude of 25 N that makes an angle of 150° with the x-axis.
F4
y
I
F₁
2
N
F2₂
X
A free-body diagram on a coordinate plane such that the +y-direction points upward and +x-
direction points rightward.
F₁ acts horizontally to the left,
A force labeled F₁ points up and to the right,
a force labeled F2 points horizontally to the right,
a force labeled F3 points vertically downward.
a force labeled F4 up and to the left.
What is the magnitude (in N) of the net force on the box?
Transcribed Image Text:We know that F₁ has a magnitude of 50.0 N and acts at an angle of 45.0° with respect to the x-axis. We know that F₂ is along the x-axis with a magnitude of 75.0 N. A third force, F3, that acts downward along the y-axis with a magnitude of 90 N. A fourth force is added with a magnitude of 25 N that makes an angle of 150° with the x-axis. F4 y I F₁ 2 N F2₂ X A free-body diagram on a coordinate plane such that the +y-direction points upward and +x- direction points rightward. F₁ acts horizontally to the left, A force labeled F₁ points up and to the right, a force labeled F2 points horizontally to the right, a force labeled F3 points vertically downward. a force labeled F4 up and to the left. What is the magnitude (in N) of the net force on the box?
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