Question

Make M the subject7Bm%20%2B%20n%7D%7Bg%7D%20%29%20%7B0%7D%5E%7B0.5%7D%20" id="TexFormula1" title=" \frac{u}{ \sqrt{2 } } = ( \frac{m + n}{g} ) {0}^{0.5} " alt=" \frac{u}{ \sqrt{2 } } = ( \frac{m + n}{g} ) {0}^{0.5} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:  $M=\frac{gu^2}{2}-N$

Work Shown:

$\frac{u}{\sqrt{2}} = \left(\frac{M+N}{g}\right)^{0.5}\\\\\\\left(\frac{M+N}{g}\right)^{0.5}=\frac{u}{\sqrt{2}}\\\\\\\sqrt{\frac{M+N}{g}}=\frac{u}{\sqrt{2}}\\\\\\\frac{M+N}{g}=\left(\frac{u}{\sqrt{2}}\right)^{2}\\\\\\\frac{M+N}{g}=\frac{u^2}{(\sqrt{2})^2}\\\\\\\frac{M+N}{g}=\frac{u^2}{2}\\\\\\M+N=\frac{gu^2}{2}\\\\\\M=\frac{gu^2}{2}-N$