Question

Two force vectors are perpendicular, that is, the angle between their directions is ninety degrees and they have the same magnitude. If their magnitudes are 655 newtons, then what is the magnitude of their sum?

Answer 1

Answer:

$F=926.31N$

Explanation:

To calculate the magnitude of the sum of the vectors we must find their components on the x and y axes, in this case, since they are perpendicular, one vector is on the x axis and the other is on the y axis:

$F=\sqrt{F_x^2+F_y^2}\\F_x=A_x+B_x=A\\F_y=A_y+B_y=B\\F=\sqrt{A^2+B^2}\\F=\sqrt{(655N)^2+(655N)^2}\\F=926.31N$