Physics

Problem

Consider a solid sphere of radius

R

and mass density

\rho(r) = \rho_0 \left(1 - \frac{r^2}{R^2}\right)

0 < r \le R

. The minimum density of a liquid in which it will float is: a.

\frac{\rho_0}{3}

\frac{\rho_0}{5}

\frac{2\rho_0}{5}

\frac{2\rho_0}{3}