A spherical ball of radius `3xx10^(-4)`m and density `10^(4)kg//m^(3)` falls freely under gravity through a distance h before entering a tank of water

Question

A spherical ball of radius `3xx10^(-4)`m and density `10^(4)kg//m^(3)` falls freely under gravity through a distance h before entering a tank of water

A spherical ball of radius `3xx10^(-4)`m and density `10^(4)kg//m^(3)` falls freely under gravity through a distance h before entering a tank of water. If after entering the water the velocity of the ball does not change, find h the viscosity of water is `9.8xx10^(-6)N-s//m^(2)`

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 20.4 m
`V_(T)=(2)/(9)(r^(2)(rho-sigma)g)/(eta)`
`=(2)/(9)xx((1xx10^(-4))^(2)xx(10^(4)-10^(3))xx9.8)/(9.8xx10^(-6))`
`V_(T)=20m//s`
for free falling body
`V=sqrt(2gh) implies h=(V_(T)^(2))/(2g) implies h =20.4m`

5 views Answered 2023-02-05 15:29