Helium gas is sold in steel tanks that will rupture if subjected to tensile stress greater than its yield strength of 5 × 108 N/m2. If the helium is used to inflate a balloon, could the balloon lift the spherical tank the helium came in? Justify your answer. Suggestion: You may consider a spherical steel shell of radius r and thickness t having the density of iron and on the verge of breaking apart into two hemispheres because it contains helium at high pressure.

Q: A solid concrete block weighs 100 N and is resting on the ground. Its dimensions are 0.430 m x 0.150…

A: Given: dimensions of brick :0.430 m x 0.150 m x 0.0790 m weight of brick, W = 100 N 1 atm = 101325…

Q: A 100 kg person sits on a 5 kg bicycle. The weight is borne equally by the two wheels of the…

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Q: An airplane is in level flight at low altitude, so that atmospheric pressure and densities are 1 atm…

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Q: A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a…

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Q: A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a…

A: In this question we have been given that a Venturi meter is a device for measuring the speed of a…

Q: In order to draw air into your lungs, your diaphragm and other muscles contract, increasing the lung…

A: in this question we use equation of state of gas.

Q: Normal atmospheric pressure at location A is 1.010 x 105 Pa. During a storm, the mercury column…

A: The barometric formula is givenWhere: is the final atmospheric pressure. is the initial atmospheric…

Q: A plastic tube has an inner diameter of d = 13.4 mm, and it can withstand a gauge pressure of Pmax =…

A: Here's how to solve it:*  *Step 1: Identify the relevant forces.*There are two main forces acting on…

Q: Humans evolved in Earth's atmosphere, therefore the pressures interior to the body are relatively…

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Q: A pressure cooker is a covered pot sealed everywhere except for a small circular opening in the top.…

A: Radius, r = 0.548 mm = 0.548×10-3 m = 0.000548 mForce, F = 0.785 N

Q: An airplane is in level flight at low altitude, so that atmospheric pressure and densities are 1 atm…

A: Given that:Patm=1 atm=101325 Paρ=1 kg/m3Pstag=1.45×105 PaLet the speed of the airplane is v

Q: Pressure cookers use water at very high pressures to cook food very quickly. They have been around…

A: Write the given values with the suitable variables. d=24 cm=0.24 mP=0.75 atm=0.75×1.013×105 Pa=75975…

Q: A uniform pressure of 7.0x105 Pa is applied to all six sides of a copper cube. What is the…

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Q: Because we grew up in a pressurized system, our bodies have developed so that all pressures interior…

A: As the cause of person lying on his stomach, the pressure difference is there. Then a certain amount…

Q: When you swim underwater, the pressure of the water pushes against your chest cavity and…

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Q: g of 119 over 83

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Q: A certain rigid aluminum container contains a liquid at a gauge pressure equal to P0 = 2.02 × 105 Pa…

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Q: The four tires of an automobile are inflated to a gauge pressure of 1.7 X 10 Each tire has an area…

A: Given that                 Gauge pressure(P) = 1.7×105Pa                 Area (A) = 0.027m2

Q: An automobile weighing 1.13 x 104 N has weight equally distributed over its wheels. The weight of…

A: The weight of the car  W=1.13×104 NThe gauge pressure of the air in the tireP=1.81×105 pa

Q: Humans evolved in Earth's atmosphere, therefore the pressures interior to the body are relatively…

A: In the given question, We have to calculate the number of sheets of paper required.

Q: The Earth's atmosphere at sea level and under normal conditions has a pressure of 1.01x105 Pa, which…

A: in this question we use simple pressure  formula.

Q: Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in…

A: Consider the given data as below. The flow rate is,  Q=220 Lmin=220103×60 m3s=3.67×10-3 m3s Length…

Q: ch time your heart beats, your blood pressure first increases and then decreases as the heart rests…

A: There are two numbers associated with blood pressure readings. (Systolic pressure) is the maximum…

Q: At a given instant, the blood pressure in the heart is 1.4 x 104 Pa. If an artery in the brain is…

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Q: A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is…

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Q: At a given instant, the blood pressure in the heart is 1.7 x 104 Pa. If an artery in the brain is…

A: Here Blood pressure in the heart = P1 = 1.7 × 104 PaWe have to calculate the blood pressure in the…

Q: density of ρ = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0234 m2 and has…

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Q: An automobile weighing 1.19 x 104 N has weight equally distributed over its wheels. The weight of…

A: weight of an automobile (w) = 11900 N Number of tires = 4 Air pressure in each tire = 190000 Pascals…

Q: At the surface of a freshwater lake, the pressure is 105 kPa. What is the approximate pressure…

A: Given,  Height = 42.6 m Temperature = 20°C Density = 1.2 kg/m3 We need to calculate,  Decrease in…

Variation of pressure

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