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A spherical solid ball of volume V is made of a material of density p1. It falling through a liquid of density p1 (p21). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., F =-kv2(k>0). The terminal speed of the ball is(a) vVg(p1-p2)/k(b) Vgp1/k(c) vVgp1/k(d) Vg)p1-p2/k
(a) The condition for terminal speed (vt) is Weight = Buoyant force + Viscous force ? Vp1g = Vp2g + kvt2 ? vt = vVg(p1 – p2 )/k
(a) The condition for terminal speed (vt) is
Weight = Buoyant force + Viscous force
? Vp1g = Vp2g + kvt2 ? vt = vVg(p1 – p2 )/k
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