Question

why only position dependent potential is conservative? why velocity dependent potential is not conservative?

Answer 1

bcoz in case of positional dependency,body regains its energy whn it coms back to its position....but in case of velocity dependency its the dissipative enrgy...n disipatve enrgy can nvr b consrvatve,bcoz disipatv enrgy can nvr b transfrd into its orignal state...

Answer 2

and why velocity dependency cause the system to be non conservative?

Answer 3

@pkjha

Answer 4

What's a velocity-dependent potential?

Answer 5

potential which depends on velocity. if force is a function of velocity then potential is also.

Answer 6

On the contrary, if a force depends on velocity it cannot be written as a derivative of a potential. That may get at the heart of your difficulty.

Answer 7

OK..................
but question is still same:
why velocity dependent potential is dissipative?

Answer 8

Tell you what, why don't you write an actual velocity-dependent potential, and then we'll look at a concrete case.

Answer 9

WELL VELOCTITY dependent pot. is dissipative 'cos it will result in loss of energy which the system can never recover so thats why we cannot describe it like as velocity independent potential i.e. dU/dX = F.only a coservative system can do it..

Answer 10

@damrinder, no. A velocity-dependent *force* is dissipative, and that is why it cannot be written as the gradient of a potential. There are no velocity-dependent potentials.

Answer 11

ok............... thanks to all of you.