Forces in 2D Video Lessons

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Problem: 1.) F1=(-8.2,3.2) and F2=(-4.0,-7.8) where all components are in newtons. What is the y-component of F1+F2 (in newtons)?2.) F=(-3.1,6.4) where all components are in newtons. What is the magnitude of F (in newtons)?3.) F=(-3.9,1.8) where all components are in newtons. What angle (in degrees) does F make with the positive x-axis?4.) F1=(-4.7,-1.2) and F2=(-2.2,3.4) where all components are in newtons. What is the magnitude ofF1+F2 (in newtons)?5.) F1=(1.9,2.5) andF2=(-4.0,-3.9) where all components are in newtons. What angle does the vectorF1+F2 make with the positive x-axis? Express your angle in the range from 0 to360 degrees.

FREE Expert Solution

This problem involves the addition and subtraction of 2D vectors, 2D vector directions, and magnitude.

2D vectors, Magnitude & Direction:

|F|=Fx2+Fy2

tanθ=FyFx

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Problem Details

1.) F1=(-8.2,3.2) and F2=(-4.0,-7.8) where all components are in newtons. What is the y-component of F1+F2 (in newtons)?

2.) F=(-3.1,6.4) where all components are in newtons. What is the magnitude of F (in newtons)?

3.) F=(-3.9,1.8) where all components are in newtons. What angle (in degrees) does F make with the positive x-axis?

4.) F1=(-4.7,-1.2) and F2=(-2.2,3.4) where all components are in newtons. What is the magnitude ofF1+F2 (in newtons)?

5.) F1=(1.9,2.5) andF2=(-4.0,-3.9) where all components are in newtons. What angle does the vectorF1+F2 make with the positive x-axis? Express your angle in the range from 0 to360 degrees.

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Our tutors have indicated that to solve this problem you will need to apply the Forces in 2D concept. You can view video lessons to learn Forces in 2D. Or if you need more Forces in 2D practice, you can also practice Forces in 2D practice problems.

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Based on our data, we think this problem is relevant for Professor McGill's class at UF.