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Newton's Laws for System of Particles

A spherical s...

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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 ?

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Solution

The condition for terminal speed (v_t) is
Weight = Buoyant force + Viscous force
∴ Vd₁g = Vd₂g + kv_t²
v_t = √Vg(d₁– d₂ )/k

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A spherical solid ball of volume V is made of a material of density $ρ_{1}$ . It is falling through a liquid of density $ρ_{2} (ρ_{2} < ρ_{1})$ . Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., $F_{v i s c o u s} = - k v^{2} (k > 0)$ . The terminal speed of the ball is.

Q. A spherical solid ball of volume V is made of a material of density

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ρ_{2} < ρ_{1}

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v

F_{v i s c o u s} = - k v^{2} (k > 0)

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Q. A spherical solid ball of volume V is made of a material of density

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