Question

Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1 is 9.50 N , and its direction is an angle 65.0 ∘ above the x-axis in the second quadrant. The magnitude of F⃗ 2 is 5.50 N , and its direction is an angle 53.1 ∘ below the x-axis in the third quadrant. A) What is the x-component of the resultant force? Express your answer in newtons. B) What is the y-component of the resultant force? Express your answer in newtons. C) What is the magnitude of the resultant force? Express your answer in newtons.

          Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1
is 9.50 N , and its direction is an angle 65.0 ∘ above the x-axis
in the second quadrant. The magnitude of F⃗ 2 is 5.50 N , and its
direction is an angle 53.1 ∘ below the x-axis in the third
quadrant.
A) What is the x-component of the resultant force? Express your
answer in newtons.
B) What is the y-component of the resultant force? Express your
answer in newtons.
C) What is the magnitude of the resultant force? Express your
answer in newtons.

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Added by Kathryn N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

10/31/2022

Step 1

For F1: The x-component is F1x = F1 * cos(65) = 9.50 N * cos(65) = 4.01 N. The y-component is F1y = F1 * sin(65) = 9.50 N * sin(65) = 8.67 N. For F2: The x-component is F2x = F2 * cos(53.1) = 5.50 N * cos(53.1) = -3.31 N. Show more…

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Two forces, F⃗ 1 and F⃗ 2, act at a point. The magnitude of F⃗ 1 is 9.50 N , and its direction is an angle 65.0 ∘ above the x-axis in the second quadrant. The magnitude of F⃗ 2 is 5.50 N , and its direction is an angle 53.1 ∘ below the x-axis in the third quadrant. A) What is the x-component of the resultant force? Express your answer in newtons. B) What is the y-component of the resultant force? Express your answer in newtons. C) What is the magnitude of the resultant force? Express your answer in newtons.

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