Can energy be negative?
I don't think \(E_k\) will be negative because \(E_k=\frac{1}{2}mv^2\), mass cannot be negative
but how about \(E_g\)? it's possible right?
\(E_g=mg\Delta y\) because \(\Delta y\) can be negative..
energy is a scalar quantity, so what does it mean if it is negative?

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Answer this: Is energy a vector quantity?

And I think maybe try dimensional analysis.

Not stating this as if I have more knowledge, but I think maybe that's how you get it.

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