Mercury is poured into a U-tube as shown in Figure P9.22a. The left arm of the tube has cross-sectionalarea A1 of 10.0 cm2 , and the right arm has a crosssectional area A2 of 5.00 cm2 . One hundred grams of water are then poured into the right arm as shown in Figure P9.22b. (a) Determine the length of the water column in the right arm of the U-tube. (b) Given that the density of mercury is 13.6 g/cm

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Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b.   (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cm

On another planet that you are exploring, a large tank is open to the atmosphere and contains ethanol. A horizontal pipe of cross-sectional area 7.0×10−4m27.0×10−4m2 has one end inserted into the tank just above the bottom of the tank. The other end of the pipe is open to the atmosphere. The viscosity of the ethanol can be neglected. You measure the volume flow rate of the ethanol from the tank as a function of the depth hh of the ethanol in the tank. If you graph the volume flow rate squared as a function of hh, your data lie close to a straight line that has slope 2.09×10−5m5/s22.09×10−5m5/s2.   What is the value of gg, the acceleration of a free-falling object at the surface of the planet? Express your answer with the appropriate units.