markmaca42
markmaca42 markmaca42
  • 12-06-2022
  • Mathematics
contestada

make M the subject
[tex] \frac{u}{ \sqrt{2 } } = ( \frac{m + n}{g} ) {0}^{0.5} [/tex]
​

make M the subjecttex fracu sqrt2 fracm ng 005 tex class=

Respuesta :

jimthompson5910 jimthompson5910
  • 12-06-2022

Answer:  [tex]M=\frac{gu^2}{2}-N[/tex]

Work Shown:

[tex]\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\\\\\\[/tex]

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