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The vessel shown in the figure contains ...

The vessel shown in the figure contains water, take `rho_("water")=1000kg//m^(2), g=m//s^(2)`). For this arrangement, answer the following questions:

The net force acting on the base of the vessel is

A

`1N`

B

`2N`

C

`3N`

D

`5N`

Text Solution

Verified by Experts

The correct Answer is:
C
Pressure at bottom of vessel
`P=rhogxx6cm`
`=1000xx10xx6/100`
`=600N//m^(2)`
Force acting at the base
`F=rhoA_(2)=600xx50xx10^(-4)`
`=3N`

Weight of liquid inside the vessel
`W=rho[A_(1)xx5cm+A_(2)xx1cm]g`
`=1000[10xx5+50xx1]xx10^(-6)xx10=1N`
So `FgtW`
The free body diagram of the liquid is as shown. The net force on the liquid is zero.
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