Question

# A spherical solid ball of volune V is made of a material of density d1. It is falling through a liquid of density d2 (d2<d1) . assume that liquid applies viscous force on ball proportional to square of its speed as F=kv^2(k>0).terminal speed of ball is ?

Solution

## The condition for terminal speed (vt) is Weight = Buoyant force + Viscous force ∴ Vd1g = Vd2g + kvt2   vt = √Vg(d1 – d2 )/k

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