Could you please address the following?(adsbygoogle = window.adsbygoogle || []).push({});

(1) For a conservative system, total energy (E = KE + PE) is a constant. It does not depend on time. Is it because of this time-independent nature that E is a constant of motion?

(2) For a conservative system, the PE is a function of position coordinates alone. It does not depend on time 'explicitly'. If so, is PE a constant of motion?

(3) Is the time-independent nature of PE a characteristic feature of a conservative system?

(4) Is PE a function of position coordinates and time for a non-conservative system?

Thanks

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# Classical mechanics - Conservative system

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