two force of magnitude A and B are acting at right angle to each other the magnitude of their resultant is
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Explanation:
The resultant of two forces( say a and b )is given by the formula, R=√(a^2 +b^2 +2ab cos β)
Where β is the angle between the two forces
Here, β=90°
And a=b,since the two forces are equal
So, R=√(a^2 + a^2 +2a x a x cos 90)
Cos 90=0.
So R=√(2a^2)=√2 a
BTP,
1414=√2 a
a=1414/1.414[√2=1.414]
a=1000 N. (Ans)
So, magnitude of each force =1000N.
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