Make M the subject (u)/( √(2 ) ) = ( (m + n)/(g) ) {0}^(0.5) ​

Question

Make M the subject

`(u)/( √(2 ) ) = ( (m + n)/(g) ) {0}^(0.5)`
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Answer 1

Answer:
`M=(gu^2)/(2)-N`

Work Shown:

`(u)/(√(2)) = \left((M+N)/(g)\right)^(0.5)\\\\\\\left((M+N)/(g)\right)^(0.5)=(u)/(√(2))\\\\\\\sqrt{(M+N)/(g)}=(u)/(√(2))\\\\\\(M+N)/(g)=\left((u)/(√(2))\right)^(2)\\\\\\(M+N)/(g)=(u^2)/((√(2))^2)\\\\\\(M+N)/(g)=(u^2)/(2)\\\\\\M+N=(gu^2)/(2)\\\\\\M=(gu^2)/(2)-N\\\\\\`