A solid ball of volume V experiences a viscous force F when falling with a speed v in a liquid. If another ball of volume 8 V with the same velocity v is allowed to fall in the same liquid, it experiences a force

Question

A solid ball of volume V experiences a viscous force F when falling with a speed v in a liquid. If another ball of volume 8 V with the same velocity v is allowed to fall in the same liquid, it experiences a force (A) F (B) 16 F (C) 4 F (D) 2 F

Tardigrade Admin · Accepted Answer

From stoke's law, F =6 π η R 1 v, and V =(4/3) π R 3 F prime=6 π η R2 v,(. volume .8 V=(4/3) π(2 R)3) =6 π η(2 R ) v =2 F

Q. A solid ball of volume $V$ experiences a viscous force $F$ when falling with a speed $v$ in a liquid. If another ball of volume $8 V$ with the same velocity $v$ is allowed to fall in the same liquid, it experiences a force

$F$

$16 F$

$4 F$

$2 F$

From stoke's law, $F = 6 π η R_{1} v$ , and $V = \frac{4}{3} π R^{3}$
$F^{'} = 6 π η R_{2} v, ($ volume $8 V = \frac{4}{3} π (2 R)^{3})$
$= 6 π η (2 R) v = 2 F$

Q. A solid ball of volume V experiences a viscous force F when falling with a speed v in a liquid. If another ball of volume 8V with the same velocity v is allowed to fall in the same liquid, it experiences a force

F

16F

4F

2F

From stoke's law, F=6πηR1​v, and V=34​πR3 F′=6πηR2​v,( volume 8V=34​π(2R)3) =6πη(2R)v=2F

Q. A solid ball of volume $V$ experiences a viscous force $F$ when falling with a speed $v$ in a liquid. If another ball of volume $8 V$ with the same velocity $v$ is allowed to fall in the same liquid, it experiences a force

$F$

$16 F$

$4 F$

$2 F$

From stoke's law, $F = 6 π η R_{1} v$ , and $V = \frac{4}{3} π R^{3}$
$F^{'} = 6 π η R_{2} v, ($ volume $8 V = \frac{4}{3} π (2 R)^{3})$
$= 6 π η (2 R) v = 2 F$