Forces in 2D Video Lessons

Concept

# 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:

$\overline{)\mathbf{|}\stackrel{\mathbf{⇀}}{\mathbf{F}}\mathbf{|}{\mathbf{=}}\sqrt{{{\mathbf{F}}_{\mathbf{x}}}^{\mathbf{2}}\mathbf{+}{{\mathbf{F}}_{\mathbf{y}}}^{\mathbf{2}}}}$

$\overline{){\mathbf{tan}}{\mathbit{\theta }}{\mathbf{=}}\frac{{\mathbit{F}}_{\mathbit{y}}}{{\mathbit{F}}_{\mathbit{x}}}}$

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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.