Physics - Fluid Question with Solution | TestHub

A spherical solid ball of volume V is made of a material of density ${\rho }_0$. It is falling through a liquid of density ${\rho }^{\prime }\left({\rho }^{\prime }<{\rho }_0\right)$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v. i.e., ${\mathrm{F}}_{\text{viscous }}=-{\mathrm{kv}}^2,\mathrm{k}>0$. The terminal speed of the ball is -