I understand that Energy is a conserved quantity in a system. A number, that's always the same to the system. However, don't we determine such a number? I mean, we can create systems(Or study them usually) and see the amount of Energy tit can have. Correct? Because to me, Energy is a confusing concept... Why was it even created? Work is a good explanation, but what's the use of Energy? It's not something physical, isn't it our manifestation? We created that concept, to explain work? or what?
What's is the importance of Energy, why do we need such a concept? It's not something real, it's just a mathematical expression taken to extremely in Physics. It's such a confusing subject... And everyone in Physics, act's as if Energy is something "given". Why? It's a number! A measurement of work!
And what about E=mc^2?! How do we define Energy here? A number as well?
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