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Two forces 5 N and 20 N are acting at a...

Two forces 5 N and 20 N are acting at an angle of `120 ^(@).` Find the magnitude of their resultant .

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We are given
`F _(1) = 5 N, F _(2) = 20 N and theta = 120^(@)`
We are to calculate, Magnitude of resultant
Using relatin : `R = ( F _(1) ^(2) + F _(2) ^(2) + 2 F _(1) F _(2) cos theta ) ^( 1//2) , ` we get
`R = ( 5 ^(2) + 20 ^(2) + 2 xx 5 xx 20 cos 120^(@)) ^( 1//2)`
`R = ( 25 + 400 - 200 xx (1)/(2) ) ^(1//2) or R = sqrt ( 325) = 18. 03 N`
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