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inertial force $$\mathbf{F}=m\mathbf{a}$$ $$\mathbf{F}-m\mathbf{a}=0$$ $$\hbox{inertial force}\mathbf{F_i}=-m\mathbf{a}$$ $$\mathbf{F}+\mathbf{F_i}=0$$

$$\mathbf{F}=m\mathbf{a}$$ $$\mathbf{F}-m\mathbf{a}=0$$ $$\hbox{inertial force}\mathbf{F_i}=-m\mathbf{a}$$ $$\mathbf{F}+\mathbf{F_i}=0$$

Homework Statement Prove inertial force is potential force. Homework Equations $$\mathbf{F}_i=-\nabla V_i$$ The Attempt at a Solution $$\oint \mathbf{F}_i\cdot d\mathbf{r}=0$$