We have two barometers, like the one shown in the figure. One uses mercury and the other uses an unknown liquid. The pressure above the liquid for each barometer is the same and is between zero and atmospheric pressure. If the height of the unknown liquid is fourteen times greater than the height of the mercury, determine the density of the unknown fluid. (Assume ρ = 13.6 × 103 kg/m3 for mercury.)

Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2 are A1 and A2, respectively. A force F1 is exerted on piston 1. Rank the resultant force F2 on piston 2 that results from the combinations of F1, A1, and A2 given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) F1 = 5.0 N; A1 = 1.3 m2; and A2 = 2.6 m2 F1 = 2.5 N; A1 = 1.3 m2; and A2 = 0.65 m2 F1 = 2.5 N; A1 = 2.6 m2; and A2 = 5.2 m2 F1 = 5.0 N; A1 = 0.65 m2; and A2 = 2.6 m2 F1 = 5.0 N; A1 = 0.65 m2; and A2 = 1.3 m2 F1 = 2.5 N; A1 = 2.6 m2; and A2 = 1.3 m2

The scale A reads 440 N when the sphere is hanging in air, and 330 N when the sphere is submerged in the fluid (but not touching the sides). The scale B reads 165 N when the sphere is hanging in the air and 275 N when the sphere is submerged in the fluid. You can assume the weight of the tank itself is negligible. (a) What is the mass of the sphere? (b) What is the mass of the fluid in the tank? (c) What is the volume of the fluid in the tank? When the sphere is hanging in the air ... (d) ... what is the net force on the sphere? (e) ... what is the gravitational force acting on the sphere? (f ) ... what force is the cable exerting on the sphere? (g) ... what is the net force on the tank of fluid? (h) ... what is the gravitational force acting on the tank of fluid? (i) ... what is the normal force acting on the tank of fluid? When the sphere is submerged in the fluid ... (j) ... what is the volume of the fluid in the tank? (k) ... what is the mass of the fluid in the tank? (l) ... what…

A rock displaces 0.6 m3 when it is fully submerged in WATER (D = 1 kg/L). What is the volume of the rock? Express your answer using appropriate mks units.

Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2 are A1 and A2, respectively. A force F1 is exerted on piston 1. Rank the resultant force F2 on piston 2 that results from the combinations of F1, A1, and A2 given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) A. F1 = 6.0 N; A1 = 0.3 m2; and A2 = 0.6 m2B. F1 = 3.0 N; A1 = 0.3 m2; and A2 = 0.15 m2C. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 1.2 m2D. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.6 m2E. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.3 m2F. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 0.3 m2

We have two barometers, like the one shown in the figure. One uses mercury and the other uses an unknown liquid. The pressure above the liquid for each barometer is the same and is between zero and atmospheric pressure. If the height of the unknown liquid is fifteen times greater than the height of the mercury, determine the density of the unknown fluid. (Assume p = 13.6 x 103 kg/m3 for mercury.) |kg/m3 Pressure between O and 1 atm Atmospheric pressure

You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.215 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.

You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.200 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.

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

A partially filled bucket of water sits on a scale and its weight is 3.8 N.  A piece of metal is suspended from a thread and completely immersed in the bucket (but does not touch the bottom).  The scale now reads 7.3 N.  Find the volume of the metal.