Respuesta :
The magnitude and direction of the resultant force will be 7.65 units and 40.2°.
What is force?
Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.
Force is used to push and pull the object and sometimes changes the direction of motion. The net force acting on an object is equal to the sum of all forces acting upon it.
F = F1 + F2 + F3
Given data;
Megnitude of force 1, F₁ = 5.90 units
Megnitude of force 2, F₂ = 5.00 units
α is the angle between the two forces=36.0°
Θ is the angle of the resultant force
The megnitude of the resultant force is;
[tex]\rm F =\sqrt{ F_{1}+F_{2}+2F_{1}F_{2}cos \alpha }\\\\ F = \sqrt{5.90 + 5.00 +2 \times 5.90 \times 5 \times cos 36^0 } \\\\ F = 7.65 \ units[/tex]
The direction of the resultant force is;
[tex]\rm \theta = tan^{-1}(\frac{F_{2}}{F_{1}} )[/tex]
[tex]\rm \theta = tan^{-1}(\frac{5.00}{5.90})\\\\ \theta = 40.2 ^0[/tex]
Hence the magnitude and direction of the resultant force will be 7.65 units and 40.2°.
To learn more about the force refer to the link;
https://brainly.com/question/26115859
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