So im improving maths but I cant work out how to get to the correct answer with this algebraic chunk;
with E=mv^{2} + mgh find what v is.
i actually have the answer 2E/v^{2} + 2gh = v
I actually tried to square root it which is wrong.
anyone know the correct way to do this.
plus for those that haven't taken programming to this kind of maths don't be intimidated like I was, Its easier to access this level of maths than you think and its fun especially now that I can recreate pendulums or speed of light equations :)
EDIT: My house mates a good physicist and mathematician (but he is out and i need to move on sooner) help me compile a list of good questions and I might provide a thread with answers and explanations, bonus points for finding a subtle question that will do his head in
Are not the same equation (I forget the term for this .. the two are not equivilent) because 'm' was dropped in the 2nd equation, and there is no way to safely drop 'm' from the first equation unless you 'plug in' a number for it.
Is that the "solution"? Because that's solved for E, not for v.
As I mention the posted solution (in your original post) cannot possibly be the solution for that equation because it lacks 'm'. m cannot just be dropped from the equation.
EDIT:
Also, is that 0.5 * mv^{2} or 1/(2mv^{2})? The way it's written is a little ambiguous.
Since that question is an exact duplicate of the one before it, but the correct answer for the one before it isn't accepted as an answer for that one, I'm inclined to believe the question is not what the answer expects it to be. It accepts the answer when the equation is solved for m, so I suspect the v is a typo.