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

## Answer this Question

## Related Questions

- 11th grade - Consider two vectors where F1 = 38 N, F2 = 58 N, and = 240o and = ...
- Physics - Consider two vectors where F1 = 40 N, F2 = 57 N, and \theta _{1} = ...
- physics - Consider two vectors where F1 = 45 N, F2 = 63 N, and \theta _{1} = ...
- physics - Consider two vectors where F1 = 31 N, F2 = 67 N,and theta 1 = 240 ...
- physics - Consider three force vectors F1 with magnitude 42N and direction 140...
- Physics - Consider three force vectors ~ F1, ~ F2, and ~ F3 with magnitude 43 N ...
- Physics - I know I need to show my work but the problem is that I don't even ...
- Physics - Vector A has a magnitude of 7 and is at an angle of 22.5 degrees ...
- phsycis - consider the vector F1: (27N,20°)The angles are measured from the ...
- physics - Consider four vectors F1, F2, F3, and F4, with magnitudes are F1 = 41 ...