Physics - Fluid Question with Solution | TestHub

A spherical solid ball of volume $V$ is made of a material of density ${\rho }_1$. It is falling through a liquid of density ${\rho }_2\left({\rho }_2<{\rho }_1\right)$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., $F_{\text{viscous }}=-k{v}^2(k>0)$. The terminal speed of the ball is