qu.1.topic=Ch 15, Sec 1 - Density@ qu.1.1.mode=Randomized Formula@ qu.1.1.editing=useHTML@ qu.1.1.name=Density of Fluid@ qu.1.1.question=The mass of an empty $volume-gallon container is $m_container kg. The mass of the same container filled with unknown fluid is $m_total kg. What is the density of the fluid? (Give the answer is SI units).@ qu.1.1.answer=$ans kg/m^3 (1 ? 0.05)@ qu.1.1.random= $volume\=rand(5,10,3); $m_container\=rand(2,3.5,3); $k\=rand(6.5,8.55,3); $m_total\=sig(3,$m_container*(1+$k)); $volume_SI\=0.003785*$volume; $ans\=sig(3,($m_total-$m_container)/$volume_SI)@ qu.2.topic=Ch 15, Sec 2 - Pressure@ qu.2.1.mode=Randomized Formula@ qu.2.1.editing=useHTML@ qu.2.1.name=Hollow Shell@ qu.2.1.question=Calculate the force exerted on a hollow shell of radius r = $r m by atmospheric pressure.@ qu.2.1.answer=$ans N (1 ? 0.05)@ qu.2.1.random= $r\=rand(0.05,.2,3); $ans\=sig(3,1.01*10^5*4*3.14*$r^2)@ qu.3.topic=Ch 15, Sec 3 - Static Equilibrium in Fluids: Pressure and Depth@ qu.3.1.mode=Randomized Formula@ qu.3.1.editing=useHTmL@ qu.3.1.name=Pressure at Bottom@ qu.3.1.question=A fluid occupies a cylindrical container of height h = $h cm. What is the gauge pressure at the bottom of the container if the density of the fluid is $rho kg/m3?@ qu.3.1.answer= $ans Pa (1 ? 0.05)@ qu.3.1.random= $h\=rand(10,30,3); $h1\=$h/100; $rho\=rand(800,1500,3); $ans\=sig(3,$rho*9.81*$h1)@ qu.4.topic=Ch 15, Sec 4 - Archimedes’ Principle and Buoyancy@ qu.4.1.mode=Randomized Formula@ qu.4.1.editing=useHTML@ qu.4.1.name=Submerged Hollow Cube@ qu.4.1.question=A hollow cube floats in an unknown fluid with $percent% of its volume submerged. What force would you have to apply to the cube in order to fully submerge it into this fluid if the density of the fluid is r = $rho kg/m3 and the side of the cube is equal $l m.@ qu.4.1.answer=$ans N (1 ? 0.05)@ qu.4.1.random= $percent\=rand(10,35,3); $rho\=rand(800,1500,3); $l\=rand(0.5,3,3); $ans\=sig(3,$l^3*$rho*9.8*(100-$percent)/100)@ qu.5.topic=Ch 15, Sec 5 - Applications of Archimedes’ Principle and Buoyancy@ qu.5.1.mode=Randomized Formula@ qu.5.1.editing=useHTML@ qu.5.1.name=Floating Sphere@ qu.5.1.question=Find the density of a solid sphere if it floats in water with $percent% of its volume submerged. Give 2 significant figures@ qu.5.1.answer=$ans kg/m^3 (1 ? 0.05)@ qu.5.1.random= $percent\=rand(25,85,2); $ans\=sig(3,1000*$percent/100)@ qu.6.topic=Ch 15, Sec 6 - Fluid Flow and Continuity@ qu.6.1.mode=Randomized Formula@ qu.6.1.editing=useHTML@ qu.6.1.name=Flowing Fluid@ qu.6.1.question=A colored fluid flows through a round hose of radius r = $r cm with a speed of $v0 m/s. At some point the fluid enters a tube of a smaller radius and its speed increases by $v_plus m/s. What is the radius of the smaller tube? Give your answer in SI units.

@ qu.6.1.answer=$ans m (1 ? 0.05)@ qu.6.1.random= $r\=rand(2,7,3); $v0\=rand(0.9,2,3); $v_plus\=rand(0.3,1.3,3); $r_si\=$r/100; $A2\=3.142*$r_si^2*$v0/($v0+$v_plus); $ans\=sig(3,($A2/3.142)^0.5)@