The resultant of two equal forces acting at right angles to each other is 1414 N. Find the magnitude of each force?  from Physics Motion in A Plane Class 11 Manipur Board
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The resultant of two equal forces acting at right angles to each other is 1414 N. Find the magnitude of each force? 

Consider the component, A=B = x. 

The forces are acting at right angles to each other. 
That is, 

straight theta space equals space 90 to the power of 0
Resultant, R = 1414 N 

Now,


space space space space space space space space space space space space space space space space space space space space space space space straight R space equals space square root of straight A squared plus straight B squared plus 2 AB space cos space straight theta end root space

space rightwards double arrow space space space space space left parenthesis 1414 right parenthesis squared space equals space straight x squared space plus space straight x squared space plus space 2 straight x. straight x space straight x space cos space 90 to the power of straight o space

space space space space space space space space space space space space space space space space space space space space space space space space space equals space 2 straight x squared space

rightwards double arrow space space space space space space space space space space space space space space space space space straight x space equals space fraction numerator 1414 over denominator square root of 2 end fraction space equals space 1000 space straight N

x is the magnitude of each force. 

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