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A pair of 297.6 N vectors are perpendicular. What is the magnitude of their resultant? Answer...

A pair of 297.6 N vectors are perpendicular. What is the magnitude of their resultant? Answer in units of N.
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Answer #1

Let us consider the given data,

F = 326.4 N

As F and F are perpendicular to each other., angle between F and F is 90 o

F ' = √[ F 2 + F 2 + 2 FF cos 90 ]

                                  =  √[ F 2 + F 2 ]

                                  = √2 F

                                  = 1.414 ( 297.6 N )

F '  = 420.80 N

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