1.
A spherical solid ball of volume VV is made up of material of density ρ\rho. It is falling through a liquid of density σ\sigma (σ<ρ\sigma < \rho). Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed VTV_T, F=KVT2F = -K V_T^2, K>0K > 0, then the terminal speed of the ball is (gg = acceleration due to gravity)