Mass vs Mass as a Force (Weight)

AI Thread Summary
The discussion centers on the distinction between mass and weight, particularly how mass is measured in kilograms while weight is often expressed in pounds. It highlights that mass remains constant regardless of location, while weight varies with gravitational force, as seen when comparing measurements on Earth and the Moon. The conversation also touches on the calibration of scales and the definitions set by the SI committee, emphasizing that commercial practices often blur the lines between mass and weight. Additionally, the complexity of defining mass in terms of atomic composition is explored, questioning whether all 1 kg masses contain the same number of atoms. Ultimately, the thread seeks clarity on the fundamental nature of mass and its measurement.
  • #51
jbriggs444 said:
If you are talking about bathroom scales, they are too imprecise for anyone to say whether they measure force or mass. The number that is presented could be pounds-force or it could be pounds-mass.

If you are talking about a scale that is legal for commerce, it measures mass. It is calibrated and certified to do so.
I failed to include "legal for commerce" with science as specific instances where kg is used for mass and not weight.

A bathroom scale is used to answer what question that people ask in everyday conversation?

"How much do you weigh?"

When you ship a package, what is asked?

"What is the weight of the package?"

The reason commerce uses mass is because it is the direct measurement used to calculate fuel costs for shipping. However, everyday usage is predominately weight. This is why the original question was asked, and why it took me a while to understand it myself. Mass and Weight are conflated because we have the same symbolic representation for two entirely different concepts.

It is the same as calling cats "cats" and birds "cats." Distinction without distinct terms leads to unnecessary confusion.
 
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  • #52
hutchphd said:
I used to tell aspiring freshman physicists:
If you want to measure the weight of an object, lift it (from the surface of the earth)
If you want to know the mass, try to shake it.

.
You can also determine the mass of an object using the original scales humans used long ago: a known mass on one side and the undetermined mass on the other. Just good old leverage and chunks of matter; no shaking required.
 
  • #53
Swiftian Alternative:
Weight (in kg) will be repurposed as strictly a marketing term for cans of beans and fat reduction potions. It will not be used in any technical literature. The approved term will Force of Gravity in Newtons (at penalty of digit removal). We can and did, after all, demote Pluto.
 
  • #54
Digcoal said:
The reason commerce uses mass is because it is the direct measurement used to calculate fuel costs for shipping.
I would suggest a much more mundane reason: Because the buyer and seller need to agree on amounts of goods that will satisfy their agreements.

Historically, mass standards have proven convenient (carry reference masses around and calibrate/certify scales on site) and do not result in disagreements due to variations in local g.
 
  • #55
While true, you see people get around this by using volume for things like ice cream to hide the fact that consumers get less product by fluffing the product up. Dove does this with their soap. Gas is more expensive during the day than at night because the same amount of gas takes up more volume when warm than when cold which is why gas is sold by volume and not mass even though the number of reactions is determined by number of molecules and not how much space those molecules occupy. I guarantee you that if and when people stop buying gas during the day, gas stations will update their sales price to reflect mass instead of volume.

They use mass when they are concerned about more and are privy to the distinction. Therefore, updating common parlance is important so that everyday consumers can also be privy to these tricks.
 
  • #56
Digcoal said:
They use mass when they are concerned about more and are privy to the distinction. Therefore, updating common parlance is important so that everyday consumers can also be privy to these tricks.
Not everything is an evil conspiracy. Mass is used because it is conveniently standardizable. A force standard be a poor substitute.

Substituting out a word such as "weight" won't change that.
 
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  • #57
"Not everything is an evil conspiracy." Great. Who are you talking to because I did not say that. lol

As for the rest of your response... welcome to the thread about why people are confused about mass and weight.
 
  • #58
LT72884 said:
Summary:: understanding mass and mass as a force(weight)

Been thinking about mass today and came up with a question. Why is that objects on this Earth describe its weight in Kg, g, mg, Mg? IE 2.2Lbs is 1Kg. So why do we name the 1Kg to be mass, but the 2.2Lbs we call weight. Both have to be a unit of force if there is a conversion factor between the two numbers. if 1Kg IS 2.2 lbs, then 1Kg is also considered weight because a 1.3Kg jar of honey is NOT 1.3Kg on the moon or anywhere else.

we know mass to be what we are made of, atoms, etc. so when and how decided it to be a unit of force?

so how do we know what really is. How do i know what my mass really is? Some say my mass is 104Kg, but that is purely based on a gravitational constant of 9.81.

so how do we really measure mass?

thanks
kg is a unit of mass.

lb is a unit of weight

lbf is a unit of force

Let me know if this might help;-

1. If you take a 1kg lab test mass and a scales that has a kg readout, then, assuming no errors and correctly made/calibrated, it'll read '1kg' for your 1kg test mass whilst here on Earth.

2. If you take a lb lab test weight and a scales that has a lb readout, then, assuming no errors and correctly made/calibrated, it'll read '1lb' for your 1lb test weight whilst here on Earth.

3. If you take the same 1kg lab test mass and the same scales, it'll read about '0.17kg' for your 1kg test mass on the Moon.
The reason is that your SCALES are no longer reading kg. Your SCALES are now wrong, but you still have a 1kg MASS.

4. If you take the same lb lab test weight and the same scales that has a lb readout, then it'll read about '0.17lb' for your 1lb test weight on the Moon.
The reason is that your WEIGHT is no longer 1lb.Your SCALES are right, you just don't have a 1lb weight any more.

HTH!
 
  • #59
I started reading this thread because I recently became somewhat befuddled while working on a physics problem of my own.

When I went through physics courses back in the dark ages, the terms lbf and lbm did not exist. The terms used were lb for weight, which was regarded as a force due to the acceleration of gravity applied to 1 slug (the term used for mass). When I started seeing the lbf and lbm terms, I merely substituted them for the earlier terms.

However, my consternation came about when I first encountered the term "kg" used to refer to both "mass" and weight. I see examples all over the web of people asserting that 1kg of mass weighs 1 kg, which I cannot reconcile. I know that 1kg of mass removed thousands of miles from the nearest significant center of gravity will not weigh 1kg. The term "Newton" makes sense to me (when it is used) as it distinguishes between mass and force. When the term "kg" is used for both weight and mass, it can become confusing.

Perhaps I am still confused. Why are scales calibrated in kilograms (or grams, etc.) and not Newtons? Doesn't 1kg of mass weigh about 9.8 Newtons?
 
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  • #60
Quester said:
I started reading this thread because I recently became somewhat befuddled while working on a physics problem of my own.

When I went through physics courses back in the dark ages, the terms lbf and lbm did not exist. The terms used were lb for weight, which was regarded as a force due to the acceleration of gravity applied to 1 slug (the term used for mass). When I started seeing the lbf and lbm terms, I merely substituted them for the earlier terms.

However, my consternation came about when I first encountered the term "kg" used to refer to both "mass" and weight. I see examples all over the web of people asserting that 1kg of mass weighs 1 kg, which I cannot reconcile. I know that 1kg of mass removed thousands of miles from the nearest significant center of gravity will not weigh 1kg. The term "Newton" makes sense to me (when it is used) as it distinguishes between mass and force. When the term "kg" is used for both weight and mass, it can become confusing.

Perhaps I am still confused. Why are scales calibrated in kilograms (or grams, etc.) and not Newtons? Doesn't 1kg of mass weigh about 9.8 Newtons?
It is because scales measure opposing forces (Newtons) and are calibrated to report calculated masses (kg). The confusion is further exacerbated by common parlance involving asking for the WEIGHT of something and providing the calculated MASS given by a scale.

Kilograms is a measurement of mass. Newtons is a measurement of force, gravitational or otherwise.

I was in the same boat as you, at one point, so do not feel alone in this.
 
  • #61
cmb said:
kg is a unit of mass.

lb is a unit of weight

lbf is a unit of force
"lb" is ambiguous. It could denote a pound force. It could denote a pound mass. One needs to use context to decide which. Saying that it means "weight" does not help since "weight" is ambiguous in ordinary language as well.

3. If you take the same 1kg lab test mass and the same scales, it'll read about '0.17kg' for your 1kg test mass on the Moon.
It will read '1 kg' because you will have re-calibrated your scale at its place of use.

If you do not recalibrate, the result will depend on the technology used in the scale.

4. If you take the same lb lab test weight and the same scales that has a lb readout, then it'll read about '0.17lb' for your 1lb test weight on the Moon.
Ambiguous. Since the scale has a 'lb' readout, you won't know whether to recalibrate to correctly read in pounds force or pounds mass.
 
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  • #62
jbriggs444 said:
"lb" is ambiguous. It could denote a pound force.
Only in misuse. lbf is a pound force. lb is a weight.
jbriggs444 said:
It will read '1 kg' because you will have re-calibrated your scale at its place of use.

If you do not recalibrate, the result will depend on the technology used in the scale.
I guess you are correct. 'Scales' might be, pedantically, argued to be explicitly the type of device where one measures a weight-to-be-tested against a calibrated weight (like 'scales-of-justice' type statues, and the type grandma used to use, both being wholly inaccurate! ;/)

In that case, you have a point, testing a lb weight against an lb test mass.

In general 'scales' these days measure a downward force. I was trying to provide a representative illustration of the difference between weight and mass for the OP.
jbriggs444 said:
Ambiguous. Since the scale has a 'lb' readout, you won't know whether to recalibrate to correctly read in pounds force or pounds mass.
I said, use the same scales, implies no recalibration. Again it was illustrative.
 
  • #63
Digcoal said:
It is because scales measure opposing forces (Newtons) and are calibrated to report calculated masses (kg). The confusion is further exacerbated by common parlance involving asking for the WEIGHT of something and providing the calculated MASS given by a scale.

Kilograms is a measurement of mass. Newtons is a measurement of force, gravitational or otherwise.

I was in the same boat as you, at one point, so do not feel alone in this.
Thank you for trying to help me understand. If you will, please try to clarify the following dilemma for me:

I am asked how much force is required to accelerate 1kg to 30m/s. Do I assume the 1kg to be mass or to be weight? The calculation will be different, depending on which is used, right?

I do not like having to assume. I could give two answers, one for each case I suppose.
 
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  • #64
cmb said:
In general 'scales' these days measure a downward force.
Normal scales these days use load cells, yes. The result that they present reflects the force that is applied, yes.

However, this ignores the fact that most scales accurate enough for the distinction to matter are calibrated to produce accurate mass readings at the place of their use. They are not calibrated to produce accurate force readings.
 
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  • #65
Quester said:
I am asked how much force is required to accelerate 1kg to 30m/s. Do I assume the 1kg to be mass or to be weight?
The 1 kg is certainly mass. The kg is a unit of mass.

How much force you need will depend on how long you are allowed to apply that much force.
 
  • #66
jbriggs444 said:
The 1 kg is certainly mass. The kg is a unit of mass.

How would I know that?

jbriggs444 said:
How much force you need will depend on how long you are allowed to apply that much force.
I see that. I used a poor example, obscuring my intent. I should have stated a problem that asked something like:

How much force would be required to accelerate 1kg at a rate of 3 m/sec^2
 
  • #67
Digcoal said:
I failed to include "legal for commerce" with science as specific instances where kg is used for mass and not weight.

A bathroom scale is used to answer what question that people ask in everyday conversation?

"How much do you weigh?"

When you ship a package, what is asked?

"What is the weight of the package?"

The reason commerce uses mass is because it is the direct measurement used to calculate fuel costs for shipping. However, everyday usage is predominately weight. This is why the original question was asked, and why it took me a while to understand it myself. Mass and Weight are conflated because we have the same symbolic representation for two entirely different concepts.

It is the same as calling cats "cats" and birds "cats." Distinction without distinct terms leads to unnecessary confusion.
Exactly! That is my problem and why the original post caught my attention!
 
  • #68
I think the other confusing factor is that SI units don't actually have ANY definitions or terms about 'weight'.

Weight is not really the same as force. Weight is 'the gravitational force characteristic of a given mass on the Earth's surface'. You have to go to earlier agreements between specific countries (like 1959 between US, CA, UK, AUS, NZ) that defined the letters (not ambiguous, guys!) and meanings.

The rest of the international community did not define a unit of 'weight', thus was created the confusion. In the absence of a unit of 'weight' what does one do next. Well, the Napoelonist-metricists co-opted the kilogram as a unit of weight.

That's how I see the confusion being spawned, anyway. Feel free to tell me what the real cause was if you know it.
 
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  • #69
Quester said:
How would I know that?
How would you know that a "1 kilogram object" is an object whose mass is one kilogram?
How would you know that the kilogram is a unit of mass?

One might google "kilogram unit" and find something like this.

Brittanica said:
Kilogram (kg), basic unit of mass in the metric system. A kilogram is very nearly equal (it was originally intended to be exactly equal) to the mass of 1,000 cubic cm of water. The pound is defined as equal to 0.45359237 kg, exactly.
 
  • #70
cmb said:
I think the other confusing factor is that SI units don't actually have ANY definitions or terms about 'weight'.

Weight is not really the same as force. Weight is 'the gravitational force characteristic of a given mass on the Earth's surface'. You have to go to earlier agreements between specific countries (like 1959 between US, CA, UK, AUS, NZ) that defined the letters (not ambiguous, guys!) and meanings.

The rest of the international community did not define a unit of 'weight', thus was created the confusion. In the absence of a unit of 'weight' what does one do next. Well, the Napoelonist-metricists co-opted the kilogram as a unit of weight.

That's how I see the confusion being spawned, anyway. Feel free to tell me what the real cause was if you know it.

Apparently, we exist in a paradigm (the "everyday world') wherein pounds and kilograms are assumed to refer to "weight". Numbers are given units of "lb" or "kg" without distinction. Why that is so is irrelevant to the practical problem solver. It may be incorrect terminology, but we seem to be stuck with the terminology.

Therefore, it seems that the correct answer to the confusion would be in the form of a question to be asked before attempting to solve a problem. It would be something like: "Is that a unit of weight or mass?"
 
  • #71
Quester said:
Apparently, we exist in a paradigm (the "everyday world') wherein pounds and kilograms are assumed to refer to "weight". Numbers are given units of "lb" or "kg" without distinction. Why that is so is irrelevant to the practical problem solver. It may be incorrect terminology, but we seem to be stuck with the terminology.

Therefore, it seems that the correct answer to the confusion would be in the form of a question to be asked before attempting to solve a problem. It would be something like: "Is that a unit of weight or mass?"
The proper distinction is not between weight and mass. It is between force and mass. Outside the physics classroom, the term "weight" can be ambiguous.

The kilogram is always a unit of mass.

In the physics classroom, "weight" is a force -- the [apparent] local force of gravity on an object. In the grocery store, "weight" is a mass. Products sold by "weight" are officially labelled in units of mass. On the bathroom scales we do not distinguish between force and mass. Whether our "weight" is the 150 pounds force on the scale or whether it is the 150 pounds mass that we pretend that the scale is reporting does not matter. It's 150 either way. In the doctor's office, we'll use a balance scale and get our "weight" measured in pounds mass.

In the physics classroom, the pound is usually treated as a unit of force and is deprecated. In the grocery store, the pound is treated as a unit of mass. It is widely used in this manner in the U.S. When clarity is called for, the terms pound-force and pound-mass can be used for disambiguation.

Out working in the field, we do not distinguish between a stone that requires 100 pounds force to lift and a stone that has a mass of 100 pounds mass. For the practical purposes of the person moving the stone, it just doesn't matter.

Similarly, we do not stress much on whether a 15 pound line will provide 15 pounds force or will suffice to support a 15 pound mass. Or whether a 20 ton jack will provide 20 tons of force or will support a truck with a gross mass of 20 tons.

[If you are selling a truckload of grain at the elevator, you can bet that the scales will be calibrated to pay you for the grain you delivered by the ton mass rather than by the ton force. Though they may dock you for the moisture content]
 
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  • #72
Quester said:
Thank you for trying to help me understand. If you will, please try to clarify the following dilemma for me:

I am asked how much force is required to accelerate 1kg to 30m/s. Do I assume the 1kg to be mass or to be weight? The calculation will be different, depending on which is used, right?

I do not like having to assume. I could give two answers, one for each case I suppose.
kg is always mass.

A very important skill I learned in first year chemistry is dimensional analysis. If you know the dimensions of everything in an equation, you have a good chance of getting the answer you are looking for.

The unit of force is the Newton. A Newton is derived from kg*m / s^2 which is the basis of F = m *a.
A unit of mass is the kilogram.
A unit of velocity is m/s.
A unit of acceleration, a, is v/s or m/s^2.

If you understand all the units in an equation, you can easily see what will fit in each spot. This also allows you to derive other equations for other problems.

So, if F = m * a, then the units will look like N = kg * m/s^2 or (kg*m)/s^2 = kg * m/s^2 which you can easily see is true. By removing the values and looking at JUST the units/dimensions, you can tell if you are using the correct ones or not.
 
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  • #73
Quester said:
Apparently, we exist in a paradigm (the "everyday world') wherein pounds and kilograms are assumed to refer to "weight". Numbers are given units of "lb" or "kg" without distinction. Why that is so is irrelevant to the practical problem solver. It may be incorrect terminology, but we seem to be stuck with the terminology.
The terminology is not incorrect. The word "weight" used in medicine and in commerce is synonymous with what a physicist calls mass. The reason it's not incorrect is because it is defined that way by law.
 
  • #74
Mister T said:
The terminology is not incorrect. The word "weight" used in medicine and in commerce is synonymous with what a physicist calls mass. The reason it's not incorrect is because it is defined that way by law.
Now I am confused, again! Are you telling me that 10 pounds of potatoes have a mass of 10 lbm? I thought I would have to divide the 10 pounds by 32+ to approximate the mass in lbm.
 
  • #75
Quester said:
Now I am confused, again! Are you telling me that 10 pounds of potatoes have a mass of 10 lbm?
Yes. The pound used in the USA is, by definition, 0.453 592 37 kg.
 
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  • #76
Mister T said:
Yes. The pound used in the USA is, by definition, 0.453 592 37 kg.
Then why do all calculations for acceleration, energy, and so forth made using pounds require that the pounds be divided by the acceleration due to gravity?
 
  • #77
Digcoal said:
kg is always mass.

A very important skill I learned in first year chemistry is dimensional analysis. If you know the dimensions of everything in an equation, you have a good chance of getting the answer you are looking for.

The unit of force is the Newton. A Newton is derived from kg*m / s^2 which is the basis of F = m *a.
A unit of mass is the kilogram.
A unit of velocity is m/s.
A unit of acceleration, a, is v/s or m/s^2.

If you understand all the units in an equation, you can easily see what will fit in each spot. This also allows you to derive other equations for other problems.

So, if F = m * a, then the units will look like N = kg * m/s^2 or (kg*m)/s^2 = kg * m/s^2 which you can easily see is true. By removing the values and looking at JUST the units/dimensions, you can tell if you are using the correct ones or not.
It is very frustrating to not be able to get past what is "correct". I know what is correct. Even in the dark ages we learned what was called "canceling terms" or what you refer to as "dimensional analysis". What I am trying to get help with is dealing with what is "incorrect" and learning how to differentiate.

Everyone here seems to be stuck on kilograms ALWAYS meaning mass. I understand that in the scientific world. It is apparently not true in the day to day world. If 1 lb of weight is the same as 1 lbm, then why add the "m"? I thought I just learned that "lb" by itself is meaningless in the scientific world.
 
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  • #78
Quester said:
https://physics.nist.gov/cuu/pdf/sp811.pdfIt is very frustrating to not be able to get past what is "correct". I know what is correct.
The problem is not what we don't know. It's what we know for sure that just ain't so.

Quester said:
Everyone here seems to be stuck on kilograms ALWAYS meaning mass.
Yes. Everyone here does agree on that.
Quester said:
I understand that in the scientific world. It is apparently not true in the day to day world. If 1 lb of weight is the same as 1 lbm, then why add the "m"? I thought I just learned that "lb" by itself is meaningless in the scientific world.
In the every day world, there are likely folks who sometimes use the kilogram as a unit of force (the kilogram-force). One need not worry much about meeting them.

The two things that you have to worry about are unit "pound" and the quantity "weight". The meaning of those are ambiguous. One needs to use context to disambiguate.

I would not say that "lb" is meaningless, exactly. It has meaning. It's just that the meaning depends on context. If you see it in the grocery store, it is a unit of mass. I hold here in my hands a bottle of ketchup with a label saying "1 lb 8 oz". That's mass.

NIST (the U.S. standards authority) is pretty good about using "lb" to mean pounds mass and "lbf" to mean pounds force. But I do not trust everyone to be that careful.
 
  • #79
jbriggs444 said:
One needs to use context to disambiguate.

I would not say that "lb" is meaningless, exactly. It has meaning. It's just that the meaning depends on context. If you see it in the grocery store, it is a unit of mass. I hold here in my hands a bottle of ketchup with a label saying "1 lb 8 oz". That's mass.
Great, something concrete to discuss!

If the marking on the bottle signifies 1.5 lbm, and I want to accelerate that bottle at 20 ft/sec2, then applying f=ma, I would have to apply a force of 30 lb-ft/sec2 ? :

1.5 lb X 20 ft/sec2 = 30 lb-ft/sec2

In the old physics classes I had, the calculation would be:

1.5 lb/(32 ft/sec2) X 20 ft/sec2 = .9375 lbf
 
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  • #80
Quester said:
Great, something concrete to discuss!

If the marking on the bottle signifies 1.5 lbm, and I want to accelerate that bottle at 20 ft/sec2, then applying f=ma, I would have to apply a force of 30 lb-ft/sec2 ? :
Yes. [I share your sentiment about actual calculations versus nattering about definitions. But on to the nattering...]

To avoid confusion, there is a unit called the "poundal" which is equal to a pound(mass) foot per second. Just as you write, 30 poundals applied to 1.5 pounds mass will yield 20 ft/sec2 acceleration.

One system of engineering units uses the pound(mass), the poundal, the foot and the second. Another system of engineering units uses the slug, the pound(force), the foot and the second. Both are "coherent" systems of units in which the ##F=ma## formula works as-is.

[The poundal is about 1/32 of a pound force. The slug is about 32 pounds mass. The 32 is, of course, the standard acceleration of gravity in feet per second squared].
Quester said:
1.5 lb X 20 ft/sec2 = 30 lb-ft/sec2

In the old physics classes I had, the calculation would be:

1.5 lb/(32 ft/sec2) X 20 ft/sec2 = .9375 lbf
Yes.

The U.S. customary system of units (pound mass, pound force, foot, second) is not "coherent". You have to stick the acceleration of gravity into the ##F=ma## formula if you use such a system.
 
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  • #81
cmb said:
I think the other confusing factor is that SI units don't actually have ANY definitions or terms about 'weight'.

Weight is not really the same as force. Weight is 'the gravitational force characteristic of a given mass on the Earth's surface'. You have to go to earlier agreements between specific countries (like 1959 between US, CA, UK, AUS, NZ) that defined the letters (not ambiguous, guys!) and meanings.

The rest of the international community did not define a unit of 'weight', thus was created the confusion. In the absence of a unit of 'weight' what does one do next. Well, the Napoelonist-metricists co-opted the kilogram as a unit of weight.

That's how I see the confusion being spawned, anyway. Feel free to tell me what the real cause was if you know it.
Any system of units has its specific choice of "base units". All other quantities are then measured by "derived units", which are defined in terms of products of powers of the base units.

Which units you choose as base units is arbitrary, but the SI has as an intrinsic constraint that the powers in the derived units should be integer. This is the reason, why in the SI we have so "unnatural" units for electromagnetism, i.e., that's why we introduce a base unit for electric charge with an additional fundamental constant fixed. In the new SI of 2019 that's the elementary charge, i.e., the charge of a proton, which has since then a fixed value when measured in the base unit unit Coulomb, C; for historical reasons in fact in the SI the unit of electrical current, Ampere (A), is the base unit and then ##1\text{C}=1 \text{A} \, \text{s}##.

The unit of force is a derived unit in the SI. For convenience one gives it a name, Newton, by defining ##1\text{N}=1 \text{kg}/(\text{m} \, \text{s}^2)##.

A weight is a force, namely the gravitational force of a body due to the presence of the Earth, measured when the body is at rest relative to the Earth at this place (and this holds also within GR, where this "force" is well defined together with the specific frame of reference defined to be at rest relative to Earth). That's why "weight" cannot be a base unit in any modern system of units, where you want utmost precision in the definition of the base units. The weight of an object not only depends on the place on Earth where you measure it but also on time since the Earth is not a fixed distribution of mass (or within GR energy, momentum and stress) and thus the gravitational field of the Earth (within GR the curvature of spacetime when you use the geometrodynamic interpretation of the gravitational field) depends on time.
 
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  • #82
Oops, . . . ## 1\;\text{N}\, = 1 \text{ kg}\,\text{m/s}^2## . . .
 
  • #83
vanhees71 said:
Any system of units has its specific choice of "base units". All other quantities are then measured by "derived units", which are defined in terms of products of powers of the base units.

Which units you choose as base units is arbitrary, but the SI has as an intrinsic constraint that the powers in the derived units should be integer. This is the reason, why in the SI we have so "unnatural" units for electromagnetism, i.e., that's why we introduce a base unit for electric charge with an additional fundamental constant fixed. In the new SI of 2019 that's the elementary charge, i.e., the charge of a proton, which has since then a fixed value when measured in the base unit unit Coulomb, C; for historical reasons in fact in the SI the unit of electrical current, Ampere (A), is the base unit and then ##1\text{C}=1 \text{A} \, \text{s}##.

The unit of force is a derived unit in the SI. For convenience one gives it a name, Newton, by defining ##1\text{N}=1 \text{kg}/(\text{m} \, \text{s}^2)##.

A weight is a force, namely the gravitational force of a body due to the presence of the Earth, measured when the body is at rest relative to the Earth at this place (and this holds also within GR, where this "force" is well defined together with the specific frame of reference defined to be at rest relative to Earth). That's why "weight" cannot be a base unit in any modern system of units, where you want utmost precision in the definition of the base units. The weight of an object not only depends on the place on Earth where you measure it but also on time since the Earth is not a fixed distribution of mass (or within GR energy, momentum and stress) and thus the gravitational field of the Earth (within GR the curvature of spacetime when you use the geometrodynamic interpretation of the gravitational field) depends on time.
Of course, but the lb isn't defined in SI, so not sure of your point, vis a vis my reference to the 1959 agreement between US/UK/CA/AUS/NZ which does. If you go to that agreement to see the definition of lb (which legally defines lb in those countries) then we might all be slightly clearer.
 
  • #84
Quester said:
Everyone here seems to be stuck on kilograms ALWAYS meaning mass. I understand that in the scientific world.
This is a forum of science in 'the scientific world', hence by your own logic we might be a bit stuck on it!?
 
  • #85
There's nothing to discuss: The kg is a unit for mass and nothing else! If there is one merit of the SI it's that it provides very accurate and logically consistent units. For all practical purposes they are most simply to use and most appropriate to communicate about quantitative descriptions of Nature (Natural Sciences) and their applications (Engineering).
 
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  • #86
cmb said:
Of course, but the lb isn't defined in SI, so not sure of your point, vis a vis my reference to the 1959 agreement between US/UK/CA/AUS/NZ which does. If you go to that agreement to see the definition of lb (which legally defines lb in those countries) then we might all be slightly clearer.
My point is that mass is mass and weight is a force due to the gravitational field of the Earth. According to Wikipedia, citing the said 1959 agreement also the pound (lb) is a unit of mass and "defined as exactly 0.45359237 kg." Case closed.
 
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  • #87
This just seems ferociously silly. If you are a purist you can always substitute the phrase "This can weighs the same as that 1kg mass" for the phrase "this can weighs a kilogram". Problem solved.
I think I will not lose sleep over this.
 
  • #88
Quester said:
It is very frustrating to not be able to get past what is "correct". I know what is correct. Even in the dark ages we learned what was called "canceling terms" or what you refer to as "dimensional analysis". What I am trying to get help with is dealing with what is "incorrect" and learning how to differentiate.

Everyone here seems to be stuck on kilograms ALWAYS meaning mass. I understand that in the scientific world. It is apparently not true in the day to day world. If 1 lb of weight is the same as 1 lbm, then why add the "m"? I thought I just learned that "lb" by itself is meaningless in the scientific world.
A kilogram always refers to mass in the everyday world too*.

The confusion does not arise because in the day to day world 'people' use kilograms as a measure of weight, the confusion arises because because in the everyday world 'people' use the word weight when they actually mean mass.

When the doctor says 'you need to reduce your weight' he doesn't expect you to achieve this by taking the elevator/lift down a few floors or taking up space flight. When you buy 5 pounds of potatoes you make sure the shopkeeper waits for the scales to settle after tossing the potatoes in, rather than accepting the greater weight of the potatoes as they decelerate in the pan.

* Edit: I can think of one example where this is not the case: ropes and other lifting equipment are almost always specified in kg (or tonnes): there is obviously a safety issue here: it would be easy to think that a 1000N sling was 10 times as strong as it actually is.
 
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  • #89
pbuk said:
the greater weight of the potatoes as they decelerate in the pan.
There is another layer of complexity lurking beneath this remark. Does the "weight" of the potatoes refer to the downward force of gravity on those potatoes, to the support force required to keep them at rest in the grocery store frame or to the support force currently provided by the pan?

Personally, I usually go for the "support force required to keep them at rest in the lab frame" and sometimes qualify "weight" as the local apparent force of gravity.

pbuk said:
* Edit: I can think of one example where this is not the case: ropes and other lifting equipment are almost always specified in kg (or tonnes): there is obviously a safety issue here: it would be easy to think that a 1000N sling was 10 times as strong as it actually is.
When it comes to elevator safety margins (typically about a factor of 11), a discrepancy of plus or minus 0.5 percent for the delta between local g and standard g is probably down in the noise. I agree that familiar units (e.g. the kilogram) are preferable to unfamiliar ones (e.g. the Newton) in such a case.
 
  • #90
Ironically, even if basic physics knowledge of mechanics, electricity and thermodynamics was needed to enter a medical school (in my native country, but perhaps in other countries as well), all forms and medical parlance use the word "weight" in the documents to be completed by the general public. That is because there is probably a law/regulation somewhere which states that people need to provide their known weight in kilograms/pounds, because the general public is assumed to be too uneducated to recognize that the weight is really a force (measured in Newtons or lbf), while kilograms/pounds could only refer to a mass (rest mass, but that's taking it to extremely pedantic).

So all of this apparent or real confusion, and threads such as these here, and other places on the internet, because people are assumed not to have studied basic physics and pre-High school or HS. Assumption of ignorance.

I am deeply passionate about linguistics in general, and etymology and grammar, in particular. Also in this domain, it is said that the less educated dictate how a language is developing. This saddens me, really.
 
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  • #91
I really don't see the problem. Can we please please close this thread ...

##\ ##
 
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  • #92
dextercioby said:
Ironically, even if basic physics knowledge of mechanics, electricity and thermodynamics was needed to enter a medical school (in my native country, but perhaps in other countries as well), all forms and medical parlance use the word "weight" in the documents to be completed by the general public. That is because there is probably a law/regulation somewhere which states that people need to provide their known weight in kilograms/pounds, because the general public is assumed to be too uneducated to recognize that the weight is really a force (measured in Newtons or lbf), while kilograms/pounds could only refer to a mass (rest mass, but that's taking it to extremely pedantic).

So all of this apparent or real confusion, and threads such as these here, and other places on the internet, because people are assumed not to have studied basic physics and pre-High school or HS. Assumption of ignorance.

I am deeply passionate about linguistics in general, and etymology and grammar, in particular. Also in this domain, it is said that the less educated dictate how a language is developing. This saddens me, really.
My thoughts exactly.

Langauge has a single purpose, and that is to convey an idea from one mind to another. Without agreement, we are left to constantly learn how each individual defines a particular word which bogs down communications and progress.

Mathematics is a language.
 
  • #93
pbuk said:
A kilogram always refers to mass in the everyday world too*.

The confusion does not arise because in the day to day world 'people' use kilograms as a measure of weight, the confusion arises because because in the everyday world 'people' use the word weight when they actually mean mass.

When the doctor says 'you need to reduce your weight' he doesn't expect you to achieve this by taking the elevator/lift down a few floors or taking up space flight. When you buy 5 pounds of potatoes you make sure the shopkeeper waits for the scales to settle after tossing the potatoes in, rather than accepting the greater weight of the potatoes as they decelerate in the pan.

* Edit: I can think of one example where this is not the case: ropes and other lifting equipment are almost always specified in kg (or tonnes): there is obviously a safety issue here: it would be easy to think that a 1000N sling was 10 times as strong as it actually is.
When you "weigh" something down, that requires mass and gravitational acceleration. This implies a force, not an amount of matter.
 
  • #94
Digcoal said:
When you "weigh" something down, that requires mass and gravitational acceleration. This implies a force, not an amount of matter.
I come down pretty strongly on the descriptivist view of language rather than the prescriptivist point of view.

The operational definition of "weight" in commerce is mass. That is not an implication. That is a fact.
 
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  • #95
jbriggs444 said:
I come down pretty strongly on the descriptivist view of language rather than the prescriptivist point of view.

The operational definition of "weight" in commerce and medicine is mass. That is not an implication. That is a fact.
Then being “weightless” in space means being “massless”?
 
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  • #96
Digcoal said:
Then being “weightless” in space means being “massless”?
Words mean different things in different contexts. That too is a fact. One which we may bemoan or celebrate, certainly. But one with which we must live.

We do not do much weighing of goods in space, so the commercial definition of weight is currently irrelevant in orbit. If we were engage in commerce in space, one suspects that the relevant measurements would be of quantity of matter rather than force exerted on deck plates.
 
  • #97
jbriggs444 said:
Words mean different things in different contexts. That too is a fact.
Which is the point. The nomenclature is convoluted creating plenty of instances for conflation and confusion.

Hence this post.

And we have a term that is never ambiguous and is invariant to the context for “an amount of matter”: mass.
 
  • #98
Digcoal said:
Which is the point. The nomenclature is convoluted creating plenty of instances for conflation and confusion.

Hence this post.

And we have a term that is never ambiguous for “an amount of matter”: mass.
Indeed we do. We, as members of the physics community are certainly free to use that word. And we do.

The English-speaking merchants of the world are equally free to continue to use the word "weight" in the way they have historically done -- a way that amounts to an operational definition of mass. And they do.
 
  • #99
jbriggs444 said:
Indeed we do. We, as members of the physics community are certainly free to use that word. And we do.

The English-speaking merchants of the world are equally free to continue to use the word "weight" in the way they have historically done -- a way that amounts to an operational definition of mass. And they do.
Nobody is making a freedom/tyranny point.

This is strictly a matter of logic.
 
  • #100
pbuk said:
* Edit: I can think of one example where this is not the case: ropes and other lifting equipment are almost always specified in kg (or tonnes): there is obviously a safety issue here: it would be easy to think that a 1000N sling was 10 times as strong as it actually is.
FWIW, all the new straps and slings I have seen recently in the last few years are now given in daN .. decaNewtons.

It's one of those 'adapt-a-SI-unit' type that brings a compound SI unit into harmony with existing usage.

Hence, "100 daN" is the 'weight force' of 100 kg.
 
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