Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Can a 20 N force and 40 N force ever produce a resultant with magnitude of 27 N?


Sagot :

Sure ,Let's find angle between forces

  • Vectors be A and B and resultant be R

[tex]\\ \sf\longmapsto R^2=A^2+B^2+2ABcos\theta[/tex]

[tex]\\ \sf\longmapsto 27^2=20^2+40^2+2(20)(40)cos\theta[/tex]

[tex]\\ \sf\longmapsto 729=400+1600+1600cos\theta[/tex]

[tex]\\ \sf\longmapsto 729=2000+1600cos\theta[/tex]

[tex]\\ \sf\longmapsto 1600cos\theta=-271[/tex]

[tex]\\ \sf\longmapsto cos\theta=-0.169[/tex]

[tex]\\ \sf\longmapsto \theta=cos^{-1}(-0.169)[/tex]

[tex]\\ \sf\longmapsto \theta=80.2°[/tex]

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.