The four forces, taken together, act as a single resulting force. What is the magnitude of this resulting force? The forces are acting on a point and the magnitude of each force is show in the diagram.

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Answer 1 · 2018-01-25T13:00:42

#"Resultant force"=sqrt(6)#

#"Resultant force"=sqrt((SigmaF_x)^2+(SigmaF_y)^2)#

#SigmaF_x=1-sqrt(2)#

(Visual explanation:
enter image source here
)

#SigmaF_y=1+sqrt(2)#

#"Resultant force"=sqrt((1-sqrt(2))^2+(1+sqrt(2))^2)#

#"Resultant force"=sqrt(1-2sqrt(2)+2+1+2sqrt(2)+2)#

#"Resultant force"=sqrt(1+2+1+2)#

#"Resultant force"=sqrt(6)#