-40 m 12 m 22 m
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An open barge has the
dimensions
shown in Fig. . If
the barge is made out of 4.0-cm-thick
steel plate on each of its four sides and
its bottom, what mass of coal can the
barge carry in freshwater without sinking?
Is there enough room in the barge
to hold this amount of coal? (The density of coal is about 1500 kg/m3.)
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- A raft is made of 11 logs lashed together. Each is 41 cm in diameter and has a length of 6.2 m . How many people can the raft hold before they start getting their feet wet, assuming the average person has a mass of 67 kg ? Do not neglect the weight of the logs. Assume the specific gravity of wood is 0.60.a boat with a flat bottom and its cargo weigh 5000 N. the area of the boats bottom is 4m^2 how far below the surface of the water is the boats bottom when it is floating in water.A company has several sensors in storage silos to detect the total pressure in the silos to ensure the tanks will not leak. Each tank is designed to withstand a maximum total pressure of 5.7 atmospheres [atm]. An engineer wants to use one of the silos to store liquid nitric acid, which has a density of 97 pound-mass per cubic foot [lbm/ft3]. If the tank is filled to a depth of 90 feet [ft], how much surface pressure in units of atmospheres [atm] can be applied to the top of the liquid inside the tank without exceeding the maximum total pressure of the silo?
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- A swimming pool has dimensions 36.0 m ✕ 6.0 m and a flat bottom. The pool is filled to a depth of 2.10 m with fresh water. (a) What is the force exerted by the water on the bottom? N down(b) What is the force exerted by the water on each end? (The ends are 6.0 m.) (c) What is the force exerted by the water on each side? (The sides are 36.0 m.)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.In the figure, the fresh water behind a reservoir dam has depth D = 14.0 m. A horizontal pipe 3.51 cm in diameter passes through the dam at depth d= 5.62 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.00 h? (a) Number (b) Number Units Units
- A barge 15mx6mx1.2m deep, outside dimensions is made up of timbers with an average thickness of 30cm. The timberweighs 7.86kN/m^3. If the draft of the barge in fresh water is not to exceed 1m, how many cubic meters of sand weighing 15.7kN/m^3 can be loaded uniformly on the barge?A solid block is suspended from a spring scale. If the reading on the scale when the block is completely immersed in water is 25.0 N, and the reading when it is completely immersed in alcohol of density 806 kg/m3 is 25.7 N, what are (a) the block’s volume and (b) its density?A metal has mass of 8 kg when the mental is hanging from a spring scale and the totally submerged in water, the scale reeds 3.30kg. What is the density of the mental? (water density=1000kg/m^3) (A)2.80x10^3kg/m^3 (B)5.80x10^3kg/m^3 (C)1.70x10^3kg/m^3 (D)3.30x10^3kg/m^3