Question

A spherical solid ball of volume V is made of a material of density ρ₁. It is falling through a liquid of density ρ₂ (ρ₂ < ρ₁ ). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v,i.e., F_viscous = –kv² (k > 0). The terminal speed of the ball is

Answer 1

(b) : The forces acting on the solid ball when it is falling through a liquid are mg downwards, thrust by Archimedes principle upwards and the force due to the force of friction also acting upwards. The viscous force rapidly increases with velocity,