Question

please explain this plz

Answer 1

$\huge\underline\orange{\mathcal Answer}$

$\large\blue{\boxed{\mathcal (c) 1000N}}$

$\huge\underline\orange{\mathcal Solution}$

The resultant between two forces say a & b is given by formula :-

$\large{\mathcal R={\sqrt{{a}^{2}+{b}^{2}+2abcos{\beta}}}}$

$\large{\mathcal {\beta = 90°}}$

And a=b two forces are equal  

So,

$\large{\mathcal R={\sqrt{{a}^{2}+{a}^{2}+2a×a×cos90}}}$

cos 90° = 0

$\large{\mathcal R={\sqrt{2{a}^{2}}}}$

$\large{\mathcal 1414={\sqrt{2}}a}$

$\large{\mathcal a={\frac{1414}{1.414}}}$

$\huge{\boxed{\mathcal a=1000N}}$

$\huge\orange{\mathcal Hope\:It\:Helps!!!}$