document.write( "Question 366802: A force f1, with magnitude 2n, and a second force f2, with magnitude 4n, act on a particle; they make an angle of 110 degrees with each other.\r
\n" ); document.write( "\n" ); document.write( "Use trigonometric calculations to find the magnitude of the resultant force and the angle it makes to the force . \n" ); document.write( "

Algebra.Com's Answer #261673 by Fombitz(32388) $\"\"$ $\"About$

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Let the direction of force $\"f1\"$ be the $\"x\"$ direction.
\n" ); document.write( " $\"f1\"$ =( $\"2n\"$ , $\"0\"$ )
\n" ); document.write( "Force $\"f2\"$ can be then broken down into $\"x\"$ and $\"y\"$ components.
\n" ); document.write( " $\"f2\"$ =( $\"4n%2Acos%28110%29\"$ , $\"4n%2Asin%28110%29\"$ )
\n" ); document.write( " $\"f2\"$ =( $\"-1.37n\"$ , $\"3.76n\"$ )
\n" ); document.write( "The resultant force $\"f\"$ is then,
\n" ); document.write( " $\"f=f1%2Bf2\"$
\n" ); document.write( " $\"f\"$ =( $\"2n\"$ , $\"0\"$ )+( $\"-1.37n\"$ , $\"3.76n\"$ )
\n" ); document.write( " $\"f\"$ =( $\"2n-1.37n\"$ , $\"3.76n\"$ )
\n" ); document.write( " $\"f\"$ =( $\"0.63n\"$ , $\"3.76n\"$ )
\n" ); document.write( "The tangent of the angle is
\n" ); document.write( " $\"tan%28theta%29=3.76%2F0.63\"$
\n" ); document.write( " $\"tan%28theta%29=5.97\"$
\n" ); document.write( " $\"theta=80.5\"$ degrees
\n" ); document.write( "The angle $\"theta\"$ is measured with respect to $\"f1\"$ . \n" ); document.write( "

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