a. A cylindrical disk of wood weighing 50.0 [N] and having a diameter of 25.0 [cm] floats on a liquid of density ? = 0.750 [g/cm3 ]. The cylinder of liquid is 60.0 [cm] high and has a diameter that is the same as that of the wood. What is the gauge pressure halfway down the liquid? b. A block of wood (????? = 800 [kg/m3 ])) float at the interface between a layer of oil of unknown density ????, and water (?????? = 1000 [kg/m3 ]) inside a container as shown. What must be the density of the oil so that only 30.0% of the wood is submerged in water? c. Water is flowing through a pipeline shown on the right. The radii of the pipe at points 1 and 2 are 0.500 [m] and 1.50 [m], respectively. The volume flow rate through the pipeline is 2.50 [L/s]. If the pressure at point 1 in the pipe is 200 [kPa], what is the pressure at point 2, located 5.00 [m] above point 1?
Questions
a. A cylindrical disk of wood weighing 50.0 [N] and having a diameter of 25.0 [cm] floats on a
liquid of density ? = 0.750 [g/cm3
]. The cylinder of liquid is 60.0 [cm] high and has a diameter that is
the same as that of the wood. What is the gauge pressure halfway down the liquid?
b. A block of wood (????? = 800 [kg/m3
])) float at
the interface between a layer of oil of unknown density ????, and water (?????? =
1000 [kg/m3
]) inside a container as shown. What must be the density of the oil
so that only 30.0% of the wood is submerged in water?
c. Water is flowing through a pipeline shown on
the right. The radii of the pipe at points 1 and 2 are
0.500 [m] and 1.50 [m], respectively. The volume flow
rate through the pipeline is 2.50 [L/s]. If the pressure
at point 1 in the pipe is 200 [kPa], what is the pressure
at point 2, located 5.00 [m] above point 1?
d. A mass is oscillating with amplitude ? at the end of the spring. How far is this
mass from the equilibrium if the elastic potential energy equals ? times the kinetic energy?
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