(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to show that

[itex]\vec{F}=(\vec{r}-\vec{r_{0}})f(\left\|\vec{r}-\vec{r_{0}}\right\|)[/itex]

in a centrally symmetric force field.

where [itex]\vec{r_{0}}[/itex] is the force field center and [itex]f[/itex] some sort of function.

2. Relevant equations

Newt. II

[itex]m\vec{\ddot{r}}=\vec{F}[/itex] and perhaps that in a central force field

[itex]\vec{U(\vec{r})}=\vec{U(r)}[/itex]

3. The attempt at a solution

I can write:

[itex]m\vec{\ddot{r}}=(\vec{r}-\vec{r_{0}})f(\left\|\vec{r}-\vec{r_{0}}\right\|)[/itex]

Is this the right approach?

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# Homework Help: Shogin that F=-grad(U) in a centrally cymmetric force field

Can you offer guidance or do you also need help?

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