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. We now add in a third force, F3, that acts downward along the y-axis with a magnitude of 90 N. F₁ 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. What is the new magnitude (in N) of the net force on the box? N What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? ° counterclockwise from the +x-axis

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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.
We now add in a third force, F3, that acts downward along the y-axis with a magnitude
of 90 N.
F₁
F₂
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.
N
What is the new magnitude (in N) of the net force on the box?
What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the
box?
° counterclockwise from the +x-axis
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. We now add in a third force, F3, that acts downward along the y-axis with a magnitude of 90 N. F₁ F₂ 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. N What is the new magnitude (in N) of the net force on the box? What is the angle (in degrees counterclockwise from the +x-axis) of the net force on the box? ° counterclockwise from the +x-axis
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