As I was arguing with a crackpot who believes that "the work/energy principle is false" because he refuses to understand that a rocket has a varying mass, I derived a modified version of the principle for an object with a mass that decreases linearly with time. This is a rather trivial calculation, but I was wondering if this modified version of the principle is well-known?

My derivation is explained in this video (it starts at 8'35'') : https://youtu.be/w-C2XtjnSik

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