Recent content by thefurlong

Try considering the sequence of squares, 0, 1, 4, 9, ..., and take the difference between subsequent squares. That will help you find the answer.

I hope this is right place to post this. I just wanted to get this off of my chest. I am frustrated, and depressed because I am an outsider to the physics community. I am posting this with the hope that somebody else might be able to add perspective to my situation. I apologize if that's...

The problem is that these days, going into scientific research is prohibitively expensive for many people (like me), especially if you're already paying off debts from your first time in school. I would love to spend all of my time studying physics rather than doing these intellectually...

Classically, this fails for the same reason Zeno's paradox fails. It confuses differentials with discrete steps. Think about it this way: at 0 seconds, there is still a force, f (which you are applying to the piano). Now, imagine that a differential of time, dt, has passed. Then, the piano...