## anonymous 5 years ago is F a continuous function of r? F(r) = gmr/R^3 if r<R gm/r^2 if r>or equal to R

$F(R-)=mg\frac{R}{R^3}=mg\frac{1}{R^2}$ $F(R+)=mg\frac{1}{R^2}\quad\Rightarrow\quad F(R-)=F(R+)=F(R)$ F(r) is continuous