Posted by **sarah** on Wednesday, January 16, 2013 at 12:51pm.

Consider two vectors where F1 = 53 N, F2 =

81 N, 1 = 320 , and 2 = 13 ,measured from

the positive x axis with the counter-clockwise. What is the magnitude of the resulting vector?

- physics -
**sarah**, Wednesday, January 16, 2013 at 12:51pm
1 is angle 1 and 2 is angle 2

- physics -
**Elena**, Wednesday, January 16, 2013 at 4:10pm
α1 =360⁰-320⁰ =40⁰

F(x) =F1(x)+F2(x)

=F1cosα1 + F2cosα2 =

=53•cos40 +81•cos13 =40.6+78.9=119.5 N

F(y) =F1(y)+F2(y)

= - F1sinα1 + F2sinα2 =

= - 53•sin40 +81•sin13 =

= - 34.07 +18.22 = - 15.85 N

F=sqrt{F(x)²+F(y)²} =

=sqrt{119. 5²+15.85²} =120.5 N

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