physic answers with steps plz
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Given, the two forces is 2F & √2F
and it's resultant is F√10.
Let, angle between them is 'a'
therefore,
√(2F)^2 + (√2F)^2 + 2×2F×√2Fcosa =F√10
=> 4F^2 + 2F^2 + 4√2F^2cosa= 10F^2
=> F^2 ( 4 + 2 +4√2 cosa) = 10F^2
=> 6+4√2 cosa = 10
=> 4√2 cosa = 4
=> √2 cosa = 1
=> cosa = 1/√2
=> cosa = cos45° [ cos45° = 1/√2 ]
=> a = 45°
hence, angle between two forces is 45°
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