Suppose force on a particle depends on both position of the particle and time.
In this case, how to find potential energy of the particle?
To be specific, force is $$ F(r,t) = (k/r^2) \exp(-\alpha t);$$ where $k$ and $\alpha$ are constants. $r$ is position of the particle from force centre and $t$ is time.
I have read that - Potential energy can not be defined for non-conservative forces. Force which depends on time is non-conservative force. Is this correct ?