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Curved surface of a vessel has shape of a truneated cone having semivertex angle 37^(@) Vessel is full of water (density rho=1000 kg//m^(3)) upto a height of 13 cm and is placed on a smooth horizontal plane. Upper surface is opened to atmosphere. A hole of 1.5 cm^(2) is made on curved wall at a height of 8 cm from bottom as shown in figure. Area of water surface in the vessel is large as compared to the area of hole |
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Answer» Initial velocity of efflux is 1m//sec Rang e `=0.8xx1/10=8` cm :.Rangefrom B `=8cm-8cmxx3/5=3.2cm` `vcostheta t=1/2 G t^(2)=-0.08` `0.6t-5t^(2)=-0.08` `t=(0.6pmsqrt(0.36+4xx5xx0.08))/(2xx10)=(0.6pm1.4)/20=1/10` Horizontal force required `=mvcos37^(@)=rhov^(2)cos37^(@)=1.5xx10^(-4)xx1000xx2xxgxxDeltahxx(4//5)` `=1.5xx2xx(0.05)/100xx4/5=0.12` N 
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