Question

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

Answer 1

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

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