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Try the experiment shown in Figure 13-15 Hold a strip of notebook paper just under your lower lip Then blow hard across the top surface Why does the strip of paper rise The blowing of the air has decreased the air pressure above the paper Because this pressure decreases, the pressure in the still air below the paper pushes the paper upward The relationship between the velocity and pressure exerted by a moving fluid is named for Swiss scientist Daniel Bernoulli Bernoulli s principle states that as the velocity of a fluid increases, the pressure exerted by that fluid decreases This principle is a statement of work and energy conservation as applied to fluids One instance in which fluid velocity can increase is when it flows through a constriction The nozzles on some garden hoses can be opened or narrowed so that the velocity of the water spray can be changed You may have seen the water in a stream speed up as it passed through narrowed sections of the stream bed As the nozzle of the hose and the stream channel become wider or narrower, the velocity of the fluid changes to maintain the overall flow of water In addition to streams and hoses, the pressure of blood in our circulatory systems depends partly on Bernoulli s principle Treatments of heart disease involve removing obstructions in the arteries and veins and preventing clots in the blood Consider a horizontal pipe completely filled with a smoothly flowing ideal fluid If a certain mass of the fluid enters one end of the pipe, then an equal mass must come out the other end Now consider a section of pipe with a cross section that becomes narrower, as shown in Figure 13-16a To keep the same mass of fluid moving through the narrow section in a fixed amount of time, the velocity of the fluid must increase As the fluid s velocity increases, so does its kinetic energy This means that net work has been done on the swifter fluid This net work comes from the difference between the work that was done to move the mass of fluid into the pipe and the work that was done by the fluid pushing the same mass out of the pipe The work is proportional to the force on the fluid, which, in turn, depends on the pressure If the net work is positive, the pressure at the input end of the section, where the velocity is lower, must be larger than the pressure at the output end, where the velocity is higher Applications of Bernoulli s principle There are many common applications of Bernoulli s principle, such as paint sprayers and perfume bottles The simple atomizer on a perfume bottle works by blowing air across the top of a tube sunk into perfume, which creates lower pressure at the top of the tube than in the bottle As a result, perfume is forced into the air flow A gasoline engine s carburetor, which is where air and gas are mixed, is another common application of Bernoulli s principle Part of the carburetor is a tube with a constriction, as shown in the diagram in Figure 13-16b The pressure on the gasoline in the fuel supply is the same as the pressure in the thicker part of the tube Air flowing through the narrow section of the tube, which is attached to the fuel supply, is at a lower pressure, so fuel is forced into the air flow By regulating the flow of air in the tube, the amount of fuel mixed into the air can be varied Newer cars tend to have fuel injectors rather than carburetors, but carburetors are common in older cars and the motors of small gasoline-powered machines, such as lawn mowers.



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Figure 7-9 The horizontal speed v1 is not high enough and the cannonball falls to the ground With a higher speed, v2, the cannonball travels farther The cannonball travels all the way around Earth when the horizontal speed, v3, is high enough

Geosynchronous Orbit The GOES-12 weather satellite orbits Earth once a day at an altitude of 35,785 km The orbital speed of the satellite matches Earth s rate of rotation Thus, to an observer on Earth, the satellite appears to remain above one spot on the equator Satellite dishes on Earth can be directed to one point in the sky and not have to change position as the satellite orbits

do1(c); do2(c);





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The C# PDF Library to Create and Edit PDF documents in . Net applications with NuGet Support. Quick Start 'C# Pdf ' code samples: 'generating pdf on the fly', ...

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Convert HTML to PDF in . NET - Stack Overflow
Net PDF library that supports HTML input. They offer an unlimited free trial. Depending on how you wish to deploy your project, this might be ...

A satellite in an orbit that is always the same height above Earth moves in uniform circular motion Recall that its centripetal acceleration is given by ac v2/r Newton s second law, Fnet mac, can thus be rewritten as 2/r If Earth s mass is m , then this expression combined with Fnet mv E Newton s law of universal gravitation produces the following equation: G

The speed of a satellite orbiting Earth is equal to the square root of the universal gravitational constant times the mass of Earth, divided by the radius of the orbit

A satellite s orbital period A satellite s orbit around Earth is similar to a planet s orbit about the Sun Recall that the period of a planet orbiting the Sun is expressed by the following equation: T 2

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The dipole is a half-wavelength antenna fed in the center Figure 6-2 shows the voltage (V ) and current (I ) distributions along the length of the half-wavelength radiator element The feedpoint is at a voltage minimum and a current maximum, so you can assume that the feedpoint is a current antinode At resonance, the impedance of the feedpoint is Ro = V/I There are two resistances that make up Ro The first is the ohmic losses that generate nothing but heat when the transmitter is turned on These ohmic losses come from the fact that conductors have electrical resistance and electrical connections are not perfect (even when properly soldered) Fortunately, in a well-made dipole these losses are almost negligible The second contributor is the radiation resistance Rr of the antenna This resistance is a hypothetical concept that accounts for the fact that RF power is radiated by the antenna The radiation resistance is the fictional resistance that would dissipate the amount of power that is radiated away from the antenna

} static void do1(List< extends Dog> d2) { d2add(new Collie()); Systemoutprint(d2size()); } static void do2(List< extends Canine> c2) {

Thus, the period for a satellite orbiting Earth is given by the following equation Period of a Satellite Orbiting Earth T 2

The period for a satellite orbiting Earth is equal to 2 times the square root of the radius of the orbit cubed, divided by the product of the universal gravitational constant and the mass of Earth

Figure 7-10 Landsat 7, a remote sensing satellite, has a mass of about 2200 kg and orbits Earth at an altitude of about 705 km

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