We are interested in measuring the pressure at different depths below the surface of the ocean. Pressure increases by approximately 1 atmosphere for every 10 m of depth below the surface (for example, at a depth of 20 m, there are approximately 3 atmospheres of pressure, 2 due the ocean and 1 to the atmosphere itself). Measuring a pressure of x atmospheres without crushing the device costs x² dollars. a. How much would it cost to measure the pressure 100 m down? b. How much would it cost to measure the pressure 1000 m down? c. How much would it cost to measure the pressure 5000 m down?

Q: A. The container shown is filled with mercury. It is open to atmosphere on the left and closed on…

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Q: Suppose a distant world with surface gravity of 7.12 m/s2 has an atmospheric pressure of 7.64 ✕ 104…

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Q: A. A cylindrical disk of wood weighing 50.0 [N] and having a diameter of D = 20.0 [cm] floats on a…

A: Answer:-  (a)  Given  Weigh = Force (F) = 50.0 N  Diameter (d) = 20.0 cm = 0.20 m  Density of liquid…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 27.8 m. Assume…

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Q: (a) A submersible vehicle is in a lake at a depth of 24.6 m. What is the absolute pressure (in Pa)…

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Q: Water is moving with a speed of 5.6 m/s through a pipe with a cross-sectional area of 4.7 cm2. The…

A: given: v1 = 5.6 m/sa1 = 4.7 cm2=4.7*10-4 m2∆h=9.8 ma2 = 9.9 cm2=9.9 *10-4 m2P1 = 1.3*105 Pa

Q: Suppose a distant world with surface gravity of 7.12 m/s2 has an atmospheric pressure of 8.44 ✕ 104…

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Q: 1. A block with length I = 1.5 m, width p = 1 m, height t = 0.5 m and mass m = 300 kg lays on a…

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Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 33.0 m. Assume…

A: a)Absolute pressure=323400 pa. b)The force exerted by the water is 4.8961×106 N.

Q: a). The rectangular bin shown is filled with coal, which creates a pressure distribution along the…

A: Pressure is given by P=4z1/3 lb/ft2 and we can say that area of the surface can be written as dA=3dz…

Q: You are designing a manned submersible to withstand the pressure of seawater at the bottom of the…

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Q: (a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.10-cm-diameter…

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Q: a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.2 m. Assume…

A: Part(a)Given,

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.2 m. Assume…

A: a)Absolute pressure is,

Q: Suppose a distant world with surface gravity of 5.68 m/s2 has an atmospheric pressure of 8.12 ✕ 104…

A: (a) The relation between force and pressure is, P=FA…

Q: (a) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 3.50 cm…

A:

Q: Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 25.8 m. Assume the…

A: Given: We are given that height=25.8 m ρ=1000 kg/m3Pressure P0=101.3 kPa=101300 Pa a) Calculating…

Q: Suppose a distant world with surface gravity of 5.44 m/s2 has an atmospheric pressure of 8.12 ✕ 104…

A: Write the given values with suitable variables. g=5.44 m/s2P0=8.12×104 Par=2 mρ=415 kg/m3 Here, g,…

Q: (a) What is the pressure drop (in N/m?) due to the Bernoulli effect as water goes into a 3.50 cm…

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Q: Suppose a distant world with surface gravity of 7.44 m/s2 has an atmospheric pressure of 8.04 x 104…

A: Part A:

Q: You are designing a diving bell to withstand the pressure of seawater at a depth of 250 m. (a) What…

A: depth = h = 250 m Density of sea water = ρsw = 1030 kg/m3 Diameter = d = 30 cm = 0.30 m Radius = r =…

Q: Water is moving with a speed of 5.4 m/s through a pipe with a cross-sectional area of 4.6 cm?. The…

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Q: a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume…

A: Introduction: Pressure is the force per unit area. Since the pressure is scalar quantity, it…

Q: What is the force due to atmospheric pressure on the outside of a 0.5m × 0.25m window? N. Why…

A: Given data- Area of window A=0.5m × 0.25m =0.125 m2 Atmospheric pressure P=1 atm =1.013 × 105 Pa…

Q: (a) What is the pressure drop due to the Bernoulli effect as water goes into a 3.20-cm-diameter…

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Q: A swimming pool of depth 3 m is filled with ordinary (pure) water (ρ = 1000 kg/m3). (a) What is the…

A: Given : Height (h) = 3 m Density = 1000 kg/m3 Atmospheric pressure = 1 atm  = 100000Pa  (standard…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 22.4 m. Assume…

A: At the bottom of the lake, the absolute pressure will be the pressure due to the column of water in…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 28.6 m. Assume…

A: GivenDepth of lake, h=28.6 mDensity of water, ρ=103 kg/m3Atmospheric Pressure, Patm=101.3…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.8 m. Assume…

A:

Q: a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 27.2 m. Assume…

A: part aCalculate the absolute pressure at the bottom of a fresh-water lake.part bWhat force is…

Q: Water moves with a speed of 7.0 m/s in a pipe with a given straight section. The water gradually…

A: Given data: The initial speed of water is v1=7 m/s. The area is doubled A2=2A1. The water descends…

Q: Calculate the absolute pressure at an ocean depth of 85 m. Assume the density of sea water is 1 021…

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Q: 3. (a) The pressure exerted by a phonograph needle on a record is surprisingly large. If the…

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Q: a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.6 m. Assume…

A: Solution:

Q: A hurricane wind blows across a 6.00 m × 15.0 m flat roof at a speed of 130 km/h.a. Is the air…

A: Use the concept of equation of continuity for justifying part (a), use Bernoulli's equation to find…

Q: A water pipe having a 2.59 cm inside diameter carries water into the basement of a house at a speed…

A: Consider the radius of the pipe at the first end be r1, the radius of the pipe at the other end be…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.6 m. Assume…

A: Depth = 32.6 m Density = 1.00 ✕ 103 kg/m3 Atmospheric pressure = 101.3 kPa.

Q: • P67 Air pressure at the surface of a fresh water lake near sea level is about 1 x 10° N/m². At…

A: (1) depth for fresh water d-

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 27.5 m. Assume…

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Q: ) What is the pressure drop (in N/m2) due to the Bernoulli effect as water goes into a 2.50 cm…

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Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.2 m. Assume…

A: (a) The absolute pressure at the bottom is P=P0+ρgh=101.3×103 Pa+1.00×103 kgm3×9.81 ms2×26.2…

Q: (a) A submersible vehicle is in a lake at a depth of 32.4 m. What is the absolute pressure (in Pa)…

A: (a) Calculate the absolute pressure at the depth. Pabs = PAtm + Pgauge         = 101.3*103 + ρgh…

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.