A balloon with mass 12 kg is inflated to a volume of 26 m^3 using a gas of density 0.51 kg/m^3. What is the maximum mass that can be tied to the balloon using a 4 kg rope without the balloon falling to the ground? (Assume density of Air = 1.3 kg/m^3)

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Q: The surface tension of a fluid at 25 degrees Cis equal to 0.083 N/m. Find the capillary rise of the…

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Q: A mercury barometer reads 747.0mm on the roof of a building and 760.00mm on the ground. Assuming a…

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Q: A solid cube of side length 11.4 cm is suspended on light string. When the cube is totally immersed…

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Q: A party balloon with a radius of 12.5 cm is filled with helium. How much weight can this balloon…

A: Given: The radius of the ballon is 12.5 cm. The density of the air is 1.29 kg/m3. The density of the…

Q: A gas bubble of diameter 2cm rises steadily at the rate of 2.5mm/s through a solution of density…

A: The formula for the viscous force is:

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Q: The balloon, string and helium have a combined mass of 0.0014 kg. The balloon is filled with helium…

A: here we can use the concept of thrust wt of paper + wt of balloon =  wt of  dislpaced air let mass…

Q: The air density is 1.28Kg/m³. the mass of the empty balloon is 2g. Determine the diameter of the…

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Q: For some reason (I don't know why), you have filled a swimming pool with an unknown liquid with a…

A: Given : Density(ρ) =1.96 × 1000 kg /m3                     =1960 kg /m3 Gravity (g) = 9.80 m/s2…

Q: Under standard conditions, the pressure at the top of a mountain is 82 kPa and the pressure at the…

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Q: A block of wood of mass 1 gram floats in water . Will a block of wood made of the same material of…

A: Introduction: Floating and sinking of the object were the phenomenon which ancient people know…

Q: A manometer using oil (density 0.900 g/cm^3) as a fluid is connected to an air tank. Suddenly the…

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Q: A spherical vessel (diameter = 2.00 cm) when empty has a mass of 2.00 g. What is the greatest volume…

A: Given: The diameter of vessel is d=2 cm. The mass of vessel is m=2 g. The density of water is ρ=1…

Q: A hot air balloon has a volume 2,292 m3 . It is filled with hot air of density 0.96 kg/m 3 . The…

A: Given data The volume of the hot air balloon is: V = 2290 m3 The density of the hot air is: ρh-a =…

Q: A hot-air balloon has a total weight (balloon, ropes, & basket) of 1.96 x104 N.  The density of the…

A: Given:Total Weight, bolloon,Force,F=1.96 x104 Ndensity of the hot air ,ρhot=0.85 kg/m3density of the…

Q: barrel contains a 12 cm layer of oil floating on water that is 25 cm deep. If the gauge pressure at…

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Q: At a height of 10 km above sea level, atmospheric pressure is about 210 mm of mercury. What is the…

A: GivenAtmospheric Pressure ( Pa)=210 mm of MercuryArea of window (A)=600 cm2Pressure  inside the…

Q: If the density of air is 1.3 kg/m3. What is the mass of air in an 8m×5m×4m room? a. 208 kg b. 210…

A: Given:Density of air = 1.3 kg/m3 Room dimension = 8m×5m×4m

Q: A 1-centimeter diameter cylindrical tube is open at the top. Oil is poured into the container…

A: A 1-centimeter diameter cylindrical tube is open at the top. Oil is poured into the container…

Q: The volume of a balloon is 2.5 m3 and has a mass 1.25 kg. What is the density of the air in the…

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Q: The pressure on the upper surface of a submerged US Naval submarine is 1.20 x 106 Pa; the pressure…

A: Pressure at upper surface and base will be written as follows: Pu=1.2×106 Pa , PL=1.4×106 Pa Say…

Q: A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely…

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Q: A graduated cylinder is half full of mercury and half full of water. Assume the height of the…

A: To aolve  this problem it is necessary to apply the concepts related to the definition of absolute,…

Q: Water has density of 1kg per liter (1kg/L). The volume of an object is  9m^3 (9 meter cubed).  If…

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Q: A future rectangular ship filled with oil. If the dimensions of the ship are (250 m) long, (80 m)…

A: Given: Mass of the ship with oil is 10.2×108 kg. Length, breadth and height of the rectangular ship…

Q: A 1-centimeter cylindrical tube is open at the top. Oil is poured into the container followed by…

A: Let the area of the cylinder be A, thus the weight of column of Oil is  W=hoilAρoilg and the weight…

Q: A submarine is stranded on the bottom of the ocean with its hatch 23.0 m below the surface.…

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Q: A tall graduated cylinder contains 7 cm of oil (density of 825 kg/m3kg/m3) on top of 20 cm of water…

A: According to the question,data is given below:-…

Q: a radius of 7.15 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density…

A: Given:- The aspherical balloon has a radius of r = 7.15 m The density of helium is  ρHe=0.179 kg/m3…

Q: A cube 10 cm on a side has an apparent mass of 5 kg when completely submerged in water. What is the…

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Q: A small drop of water at 27 deg celcius is in contact with the air and has a diameter of 0.7mm. If…

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Q: A hot-air balloon consists of a basket hanging beneath a large envelope filled with hot air. A…

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Q: The air density is 1.28Kg/m³. the mass of the empty balloon is 2g. Determine the diameter of the…

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Q: The density of water is 1.0g/cm3 and the density of oil is 0.80g/cm3. The height L in the U-tube…

A: Pressure at same horizontal level remains same in same liquid.

Q: An empty rubber balloon has a mass of 12.5 g. The balloon is filled with helium at a density of…

A: Mass of empty balloon (M)=12.5 g Density of helium (ρHe)=0.181 kg/m3 Radius of the balloon (R)=0.268…

Q: You purchased 1-kg of a pure gold statue (density is 19.3 g/cm3). To check the quality of gold you…

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Q: A balloon is filled with 400 m3 of helium. How big a payload can the balloon lift? (The density of…

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Q: Given that the density of water is 1 × 103 kg m−3, how deep would you have to dive to experience an…

A: The absolute pressure at a depth h from the surface of the water is given by:P=Pa+ρghwhere,ρ is…

Q: A light ball (weight 2.0-g) filled with a very light gas, the ball is connected to a spring as shown…

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Q: If pressure of a liquid is 2000Pa and height of the liquid is 40cm, then density of the liquid is…

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Q: Calculate the volume (in m^3) of helium needed in a hot air balloon to lift at least 100 kg of load.…

A: Given: Mass m = 100 kg Density of helium He = 0.179 kgm3 Density of air = 1.29 kgm3 To determine:…

Q: Determine the mass and the weight of the air contained in a room whose dimensions are 6m xóm x 8m.…

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Q: In a sample of seawater taken from an oil spill region, it is found that an oil layer 4.0 cm thick…

A: Given, Thickness of oil =4 cm Density of oil=0.75*103 kg/m3 Thickness of water =55 cm We have to…

Q: rising nor falling. The density of atmospheric air is 1.3 kg/m^3. The total mass in kg of the…

A: The density of atmospheric air is 1.3 kg/m^3. diameter hot air balloon is D = 7m       Radius = D/2…

Q: A metal has mass of 8 kg when the mental is hanging from a spring scale and the totally submerged in…

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Q: what length would the trapped air column have if the temperature were 30°C and atmospheric pressure…

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Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.