A Simple Proof of Conservation of Energy
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One of the fundamental principles in modern physics is that there’s no absolute time.And I’m not even talking about relativity making time go at different rates if you’regoing near light speed – I just mean that any time is as good as any other to set yourclock to zero. The predictions of physics work all the same, and it’s not like there’ssome “absolute starting time” – I mean, if there were, time zones wouldn’t work!In addition to allowing time zones, the fact that there’s no absolute time also impliesthe law of conservation of energy. Here’s a simple proof to show that if a force doesn’tdepend explicitly on time, then that force conserves energy!First, conserving energy just means that there’s a certain number, called the energy, whi...
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One of the fundamental principles in modern physics is that there’s no absolute time.And I’m not even talking about relativity making time go at different rates if you’regoing near light speed – I just mean that any time is as good as any other to set yourclock to zero. The predictions of physics work all the same, and it’s not like there’ssome “absolute starting time” – I mean, if there were, time zones wouldn’t work!In addition to allowing time zones, the fact that there’s no absolute time also impliesthe law of conservation of energy. Here’s a simple proof to show that if a force doesn’tdepend explicitly on time, then that force conserves energy!First, conserving energy just means that there’s a certain number, called the energy, whi...
