Consider a solid sphere of radius and mass density ,

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

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: (1)

\frac{\rho_0}{3}

(2)

\frac{\rho_0}{5}

(3)

\frac{2\rho_0}{5}

(4)

\frac{2\rho_0}{3}