johann1301
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If F is a force acting on a atom and is dependent on the velocity of the atom. Is the force conservative?
Certainly not. Consider ##a=-1 \; N/(m/s)## and an object which goes out a distance of 1 m at 1 m/s and then back at 1 m/s and another which goes out the same 1 m distance at 1 m/s and then back at 10 m/s. The force does 2 J of work for the first path and 11 J of work for the second. Furthermore, the work is non-zero, so both differ from the path which just stays at the endpoints.johann1301 said:Lets say
F=-av
If i integrate this, isn't it soley dependent on the start and end point? And thus, its conservative..?
gleem said:Velocity dependent forces are generally not conservative and exception is the Lorentz force
That is not at all what is being asked.audire said:Are you asking if force is always conserved? From my understanding yes f=mv thus it will always equation out to your mass and velocity on the other side of the equals sign?