A block is at rest in gravity free space. It is acted by four forces, \( 3 \mathrm{~N} \) in Eas...

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A block is at rest in gravity free space. It is acted by four forces, \( 3 \mathrm{~N} \) in East direction, \( 1 \mathrm{~N} \) in South direction, \( 1 \mathrm{~N} \) in downward direction and an unknown force \( \mathbf{F}_{0} \). Due to these forces, the block starts to move in South-East direction. The minimum possible value of \( \mathbf{F}_{0} \) is \( \sqrt{n} \) newton. Find the value of \( n \).
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