When a ball is released form rest in a very long column viscous liquid, its downward acceleration is a (just after release). Find its acceleration when it has acquired two third of the maximum velocity
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a
a3
b
2a3
c
a6
d
2a5
answer is A.
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Detailed Solution
At the beginning, net force downwards F= ma ; When terminal velocity is achieved F=6πηrv when velocity is 23 of its terminal velocity,viscous force is 23 6πηrv =23Fnet force =F-23F=F3 so acceleration will be a3
When a ball is released form rest in a very long column viscous liquid, its downward acceleration is a (just after release). Find its acceleration when it has acquired two third of the maximum velocity