BlazikenMegaEX4846 BlazikenMegaEX4846
  • 03-02-2020
  • Physics
contestada

Find the direction and magnitude of Ftot, the total force exerted on her by the others, given that the magnitudes F1 and F2 are 22.8 N and 16.6 N, respectively.

Respuesta :

wagonbelleville wagonbelleville
  • 04-02-2020

Answer:

 θ = 36°

Explanation:

given,

F₁ = 22.8 N

F₂ = 16.6 N

magnitude of force = ?

direction of force = ?

[tex]F = \sqrt{F_1^2 + F_2^2}[/tex]

[tex]F = \sqrt{22.8^2 + 16.6^2}[/tex]

[tex]F = \sqrt{795.4}[/tex]

      F = 28.20 N

direction

[tex]\theta = tan^{-1}(\dfrac{F_2}{F_1})[/tex]

[tex]\theta = tan^{-1}(\dfrac{16.6}{22.8})[/tex]

[tex]\theta = tan^{-1}(0.728)[/tex]

       θ = 36°

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