So I have a force given by:
$$ F = (x^2 + y^2 + z^2)^n(xi+yj+zk)$$
From this I want to find a scalar potential (defined as $\phi(x,y,z)$) so that $F = -\nabla\phi$. Can anyone give me some pointers or the starting point for doing this...
2026-04-23 23:44:16.1776987856
Finding a scalar potential from
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Hint:
$$ \dfrac{\partial}{\partial x} \left[\dfrac{1}{2(n+1)}\left( x^2+y^2+z^2 \right)^{n+1 } \right]=x\left(x^2+y^2+z^2 \right)^n $$