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CorrectThe total mechanical energy of an object with mass mat height in a closed system can be written as ME =v, the velocity of the object, in terms of the given quantities.5me? + mgh solve for

CorrectThe total mechanical energy of an object with mass mat height in a closed system can be written as ME =v, the velocity of the object, in terms of the giv class=

Answer :

To solve the given equation for v, isolate the variable to one side of the equal sign, this way:

[tex]\begin{gathered} ME=\frac{1}{2}mv^2+mgh \\ ME-mgh=\frac{1}{2}mv^2 \\ \frac{2}{m}(ME-mgh)=v^2 \\ \frac{2}{m}ME-2gh=v^2 \\ v=\sqrt[]{\frac{2}{m}ME-2gh} \end{gathered}[/tex]

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