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#1
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| Weight is a measure of the centripetal force, or thrust exerted on, and/or by objects; bodies, or masses of the particles [atoms and molecules] that comprise the mass of the substances that we call matter; when they are at rest on the terra firma surface of Earth, or on a similar planet. This force is primarily due to gravitation; where all matter is continuously gravitating toward a common center of mass; at a rate that varies inversely as the distance separating these centers of mass; as well as being affected by the centrifugal effect due to the planet's rotation. That is at Earth's equator where the rotation is greatest, the centrifugal effect is greatest, and therefore causes the centripetal weight there to be least. Weight will also vary with elevation, and is less on hills than in valleys, because they are further from Earth's center than sea level. Units of weight are units of force: In the International System of Units (SI), the "modern" metric system, the units of force are the dyne and the newton. In the foot-pound-second system used in the United States, units of force customarily include the ounce and the pound. One pound being equal to 4.448 newtons; which is the weight of 0.454 kilogram. Newton found the "mass" of an object to be equal to it's "bulk and density, conjointly", as well as being the ratio of its weight [w], divided by the acceleration at which it will free fall [g] at the location where it is weighed. He related this "gravitational mass" [w/g] to mass [m] in general as being equal to "inertial mass" [f/a]; which is the ratio of the net force [f], divided by the acceleration [a] that it causes _anywhere_, _anytime_: Where through algebra: f = wa/g, and w = fg/a: Where the mass is incidental; since it's just two different ways of saying the same thing: That mass is a ratio of force to acceleration (and/or deceleration), and is a measure of inertia. For commercial and everyday purposes, weight is commonly used to mean the quantity of matter in an object. When people use weight in this sense, they measure it on weight scales. The kilogram is the SI's base unit of mass; where one pound is the weight of 0.454 kilogram. [This is a rewrite of the World Book's article on weight., and in my humble opinion is considerably truer.] A slug at the earth's surface has a weight of about 32.174#. Above the earth's surface it weighs less and less. Contrary to popular belief , below the earth's surface (in a mine or borehole) it has been found that a mass of matter weighs more than at the surface. The reason is that weight increases to a maximum as it approaches a common center of mass! Earth does not _attract matter_ from Earth's center; making it weightless there: Instead the matter around Earth's center gets heavier, the closer it is to that center. In orbit around the earth astronauts feel no weight at all, even though they are still as massive as they were on the ground. This is not due to the distance they are from the earth, which may be only a hundred miles or so. They are weightless because they are in free fall, as you would be if you fell off a cliff. They don't fall straight down, however, because they are traveling forward at about 30 times the speed of sound (mach 30), and keep falling around the earth! Things are less heavy on the moon because they fall about six times slower there: Mass and/or gravitational inertia are constant because they are a _ratio_ of their weight, divided by the rate at which they will free fall; wherever they are. The denominator of the ratio [w/g] is the acceleration of free fall on the moon, and is only about one sixth of its value here on Earth: That's what causes things to weigh only one sixth as much as they do on Earth. ------------------------------------------------------------------------ If the people who determined that grams and kilograms were constants had stopped to think, they'd have realized this; that it's a scientific fact that weight varies at various locations; in proportion to the acceleration of free fall [g], which also varies at various locations: But they didn't; they were in too much of a rush to outdo the British, and they're still trying. If only they could get the free people of the U.S. to go along with the scam; but it won't happen: Ever! A few further comments should be added about the force called weight which is a source of much confusion to many students, and teachers of physics. Weight is the mutual force exerted between bodies on the ground and the resisting force exerted by the ground; which restrain each other from gravitating further toward their common center of mass; which for all intents and practical purposes is the center of the planet: The force of gravity acting upon an object is sometimes referred to as the mass of the object. Many students and teachers of physics confuse weight with mass. The mass of an object refers to the amount of matter that is contained by the object; the weight of an object is the force of gravity acting upon that object. Mass is related to "how much stuff is there" and weight is related to the pull of the Earth (or any other planet) upon that stuff. The mass of an object (measured in kg) will be the same no matter where in the universe that object is located. Mass is never altered by location, the pull of gravity, speed or even the existence of other forces. For example, a 2-kg object will have a mass of 2 kg whether it is located on Earth, the moon, or Jupiter; its mass will be 2 kg whether it is moving or not (at least for all practical purposes); and its mass will be 2 kg whether it is being pushed or not. On the other hand, the weight of an object (measured in Newtons) will vary according to where in the universe the object is. Weight depends upon which planet is exerting the force and the distance the object is from the planet. Weight, being equivalent to the force of gravity, is dependent upon the value of g. On earth's surface g is 9.8 m/sec^2 (sometimes approximated as 10 m/sec^2). On the moon's surface, g is 1.7 m/sec^2. Go to another planet, and there will be another g value. Furthermore, the g value is inversely proportional to the distance from the center of the planet. So if we were to measure g at a distance of 400 km above the earth's surface, then we would find the g value to be less than 9.8 m/sec^2: Always be cautious of the distinction between mass and weight. It is the source of much confusion for many students and physicists. |
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| "Donald G. Shead" wrote: [snip] Dumb Donny ShitHead is off his psycho-meds. Hey stooopid Dumb Donny shitHead, where is the centripetal force in a Cavendish balance? -- Uncle Al [Only registered users see links. ] (Toxic URL! Unsafe for children and most mammals) "Quis custodiet ipsos custodes?" The Net! |
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#3
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| Donald G. Shead wrote: Why are you obsessed with units of measurement. They are just names for natural quantities or ratios of natural quantities. Bob Kolker |
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#4
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| Uncle Al wrote: Err, boys. However amusing [you think] this is, could you consider getting a room somewhere? While I don't pretend to speak for all of sci.math, it seems to me to be wildly off-topic here. Just a suggestion, Rick |
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#5
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| "Donald G. Shead" wrote: Sigh! Inertia [Only registered users see links. ] Weight [Only registered users see links. ] Mass [Only registered users see links. ] "The time has come," the Walrus said, "To talk of many things: Of shoes, and ships, and sealing wax, of cabbages and kings. And why the sea is boiling hot and whether pigs have wings." Makes about as much sense as Shead eternal struggle with inertia, weight and mass. |
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#6
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#7
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| [Only registered users see links. ] (Donald G. Shead) wrote in message news:<48402bae.0404121459.1c2761e0@posting.google. com>... [snip] Did you know there is also a unit of kilograms force? Did you know there is also a metric slug? I thought you would be happy to hear that. We have such a carefully worked out system of measures of mass in kilograms, grams, micrograms, etc., and then scientists insist on measuring mass in such esoteric units as electron volts! Double-A |
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