1.

Curved surface of a vessel has shape of truncated cone having semi-vertex angle 37^(@). Vessel is full of water (density rho=1000kg//m^(3)) upto a height of 12 cm and is placed on a smooth horizontal plane. Upper surface is opened to atmosphere. A hole of 1.5cm is made on curved wall of a height of 8cm from bottom as shown in figure. Area of water surface in the vessel is large as compared to the area of the hole. The initial horizontal force required to keep the vessel in static equilibrium

Answer»

`0.12N`
`0.15N`
`0.25N`
`0.35N`

Solution :`V=sqrt(2gh)=1m//s`
`- 8/100-3/5t-1/2xx10Xt^(2)`
`t=1/5sec`
`:. X=4/5xx1/5xx100=16cm`
horizontal range from point `B=16-6=10cm`
Force REQUIRED to KEEP the vessel in EQUILIBRIUM `=rhoAV^(2)cos37^(@)`
`=0.12N`


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