|
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Register | FAQ | Members List | Calendar | Mark Forums Read |
![]() |
|
|
LinkBack | Thread Tools | Display Modes |
|
||||
|
Quote:
Inertial-mass is always equivalent to its gravitational-mass. Let me illustrated it thus: Take a one kilogram mass (same cube or rod or ball or whatever, did not change its composition in any way) from Earth's 1 G and move it to Jupiter's (hypo) 5 G. Place this kilogram of mass on a balance scale, and it balances against another kilogram mass. Now try lifting this kilogram off Jupiter's surface: it will take 5 times the force to do so. I interpret this as 5F = 5m*a; while you interpret this as 5F = m*5a; this is our fundamental difference. But Jupiter is not 5 times the mass it was before, same mass. If Jupiter were 5 times larger mass, than we operate in 1G, where 5F = m* 5a; but if Jupiter is still the same mass, we operate in 5G, where 5F = 5m*a, which means Jupiter's "kilogram" is one-fifth Earth's kilogram.. Now take a one "kilogram" mass from Jupiter, which is one-fifth the size of our previous mass, and take it to Earth's 1 G. Place that 0.2 mass on a balance scale with Earth's one kilogram mass, and the Earthian kilogram wins hands down. This is why Jupiter (if it really is in 5 G) is a far smaller planet core than we realize. Because this core is hidden by its incredibly vast atmosphere, we can't see it, though Voyager reported that it is about two or three Earth masses, which is still very small. Yet Jupiter's small core is operating in 5 G, so it balances on a scale with Earth 1 G mass, but it would take ten to fifteen Earths to do so. If you tried to move 10 to 15 Earths rather than two to three Earths, you would need a great deal more force, and that is why the inertial mass and gravitational mass are equivalent. Here is something by way of illustration that maybe will give you a better sense of what I am talking about: Enceladus, especially where they say: "Likewise, with the atmosphere, Enceladus does not possess the gravitational attraction necessary to hold on to a cloud of water ions, so this must be being replenished also." Only problem, Enceladus being about the size of Arizona, is too small gravitationally in 1 G; but it may not be too small in 5-10 G (I think Saturn has ~10 G). The scientists who are puzzling over this (they know nothing of a greater G) are saying that there must be a source replenishing these water ions, and atmosphere. But there is no evidence of this since we began looking, so they're mystified, naturally. This is why mass behaves differently in 1 G or 5 G: in 5 G it can do things that in 1 G it cannot, like hold onto more ambient mass, gases, water ions, etc. BTW, the current thought is that Saturn's core planet must be much larger than Jupiter's small core, but that again is a function of not knowing that G on Saturn may be twice that of Jupiter, so to compensate theory they give Saturn a bigger core, which has not been found to date due to Saturn's thicker (bigger G, hypothetically) atmosphere. I think where you run into trouble here, conceptually (and why this whole idea rubs you the wrong way), is that by referring back to all our spaceprobes that successfully maneuvered their way around Jupiter and Saturn, there was no variable G ever detected. And this is positively true, but we may have the planet's mass-volume figured in 1 G, when it fact it should be substantially smaller in 5 G. We use gravity assist, which is a function of (G*m) to navigate the spacecrafts, and the spacecraft mass is infinitesimal in comparison to the mass of the planet, so everything more or less works fine (after a few inflight adjustments). You see, it is well hidden, even if wrong, because we modeled the universe after our planet's 1 G environment, so even if the G is different elsewhere, we can't tell... well, except for all the puzzling things like an atmosphere on Enceladus or Pluto, where we explain it away saying that they are "gassing out". End result? We get a very confused view of cosmological events from our solar system out to deep space. Is the Pioneers Anomaly giving us a clue? Most people, including yourself, don't think any of these puzzling phenomena are gravitational. I do...* But I do not wish to convince, only to illustrate how I see it, and remember I may be wrong. ![]() *(I think it is at least possible, but we can't know until we find a way to measure for this, so only hypothetical for now.) |
|
|||
|
Quote:
When does the variable light speed come back to your theory? Quote:
This is basic algebra. Of course they're going to balance. Moving an '*' isn't going to revolutionize physics anytime soon. Edit to add. Sorry, it must be way past my bed time. Actually, your formula will never balance. Why do you have F multiplied by 5? If I make m=2 and a=3 (no units needed here) then F should equal 30 using you formula. But in your formula, F would equal 150, hence, they would never balance. Sleep on this I must.
__________________
"The universe is driven by the complex interaction between three ingredients: matter, energy, and enlightened self-interest." - G'Kar |
|
|||||||||||||
|
Quote:
These experiments show that the inertial mass does not change. Quote:
And we know that, because we have observe known masses in situations where the gravitational force is different. And because the spectra from other planets and stars are recognizable from spectra taken on Earth, and because the electonics of our porbes worked fine (if it did not, we would not have any image taken with CCD-based cameras). Quote:
This would be observable, unless you invoke a violation of the Equivalence Principle. Quote:
But Jupiter's kg-mass would be exactly the same as Earth's. Quote:
Quote:
But 0.2 kg is not Juptier's kg, it is 0.2 Jupiter's kg. You are still confused about weight and mass. Why don't you express the wieght in Newtons? Quote:
Quote:
Quote:
Quote:
Why would it show up only in the Pionerr probes? Quote:
__________________
papageno "Why waste time learning, when ignorance is instantaneous?" - Hobbes (Calvin and Hobbes) "It's all about context!" - Vince Noir (The Mighty Boosh) "I've never heard of such a brutal and shocking injustice that I cared so little about!" - Zapp Brannigan (Futurama) |
|
||||
|
Quote:
So if you weigh on earth 100 kg (Earth scale), your weight on Earth (at 9.8 m/s^2) is 980 N. If G is 5 times greater on Jupiter, your Jupiter weight woud be five times Earth’s N (times 23 m/s^2), so you would weigh 23 * 4900 N, which now makes you in Newtons force = 112,700 N. However, that is incorrect. Your weight on Jupiter is the same as it was before we (hypothetically) discovered it had a different G, so the correct weight on Jupiter is only 100 kg * 23 m/s^2, so you would weigh 2300 N. So you see, it doesn’t work, which is why I avoided this analogy. How would you calculate it to show your analogy better? |
|
|||
|
The definition of Kilogram:
Quote:
Quote:
We could take that rod anywhere in the universe, even in a universe where G varies greatly (which we know isn't the case in our universe). Since the amount of matter in the rod does not change, then by definition the mass of the rod is still one kilogram. The amount of matter that makes up an object is a physical property that is measured in kilograms. What 1 kilogram means is not up for debate. It is a defined value. That definition does not include the value of G. Don't bother: it doesn't include the value of G not because "we've always assumed constant G", but because G has no bearing on how much matter an object is composed of. Kilograms are a measure of mass. Mass is a physical property of an object that represents the amount of matter that makes up the object. The amount of matter in an object does not depend on the value G. Therefore, kilograms, which are the unit we use to represent quantities of matter, would not be different if G were different. If you want to debate what happens to the unit "kilogram" if G were somehow different, you are not debating anyone in this forum. You are debating the definition of "kilogram". Quote:
|
|
||||
|
Quote:
|
|
|||
|
Quote:
W = mg The mass of an object is 100kg. The weight on Earth is: 100kg * 9.8m/s^2 = 980N The weight on Jupiter is: 100kg * 23m/s^2 = 2300N G is required to calculate the mass of Jupiter. If we discovered G were different at Jupiter, then we'd realize we had always had Jupiter's mass wrong. We'd recalculate Jupiter's mass and find it was much lower than we thought. You've pointed this out seemingly hundreds of times: GM remains constant. Therefore, acceleration due to gravity remains constant. The mass of the object in question remains constant. If m (mass of the object) and g (acceleration due to gravity) are the same before and after the "discovery" that we were wrong about G, guess what? W is the same before and after the "discovery". If you'd just take 30 seconds and walk through the calculations step-by-step instead of running around randomly multiplying everything by 5, you'd see this. |
|
||||
|
Quote:
Exactly! So what is Jupiter's "kilograms" per my bold? Is 100 kg on Earth still 100 kg on Jupiter, in (assumed) 5 G? Or is it this same mass now 20 "kg" per Jupiter's 5X (Earth) G? Don't you see that in Jupiter's greater graivtational G "proportional" each kilogram is now five times greater? Of course the end result is the same mass with 100 kg, but can you see the qualitative difference here, or not? Don't get frustrated about it, but think of what is happpening if a body's gravitational G is different: to arrive at the same kilograms of mass we use on Earth, the "kilograms" of a different G world have to be adjusted for the higher G. There is no getting around this, and this is why the mass acts differently there, because (per above example) each kg.-Earth is now equivalent to 0.2 kg-Jupiter. This is not so confusing, and I'm sure if you can understand Relativity, you can understand a variable G, in fact it's easier! |
|
|||
|
Quote:
Quote:
__________________
"The universe is driven by the complex interaction between three ingredients: matter, energy, and enlightened self-interest." - G'Kar |
|
|||
|
Quote:
Quote:
W = 20kg * 23m/s^2 = 460N which is NOT what we would observe, if we were wrong about G at Jupiter. Do the math, and post the calculations step-by-step (you won't do this). Start with Jupiter's mass based on the currently accepted value for G and calculate "g" for Jupiter. Then, replace the currently accepted value of G with any value you choose. Recalculate Jupiter's mass utilizing this new value of G and then recalculate "g". Since GM remains the same, you will find that "g" is the same. "g" and the mass of the object you are weighing are all you need to determine weight, since "g" is calculated using G. You do not need to change the definition of kilograms to support variable G. You will never realize this until you actually sit down, take a deep breath, and work through the calculations step by step. You are trying to take shortcuts, and you are making mistakes. For example: Quote:
Again, I suggest you work out the calculations with real numbers, starting with the currently accepted values for G and Jupiter's mass. If you just do this, you will see why variable G works just fine (mathematically...) in all regards with the current definition of "kilogram". Edit to add: if you do the calculations the value for "g" at Jupiter should be closer to 25m/s^2, which is Jupiter's "surface gravity". On the fact sheet, "surface acceleration" (which for Jupiter is listed at around 23m/s^2) includes the effects of the rotation of the planet. |
|
||||
|
Quote:
(1G*m) = (5G*0.2m) Your correct example should have read: W = 5(20kg) * 23m/s^2 = 2300 N. Quote:
W = 100 kg * 9.8 m/s^2 = 980 N for Earth W = 100 kg * 23 m/s^2 = 2300 N for Jupiter. That is how we know it in one G. Now, if (1G*m) = (5G*0.2m), for Jupiter's five times higher G, then it should read: W" = 5(20 "kg" * 23 m/^2) = 2300 N for Jupiter, if you factor in the 5 G. The way you see it, the 5 G doesn't exist anywhere, and if I did it your way, if I understand what you're saying, factoring in the 5 G, it would look like this: W'" = 5(100 kg * 23.m^2) = 11,500 N , which is wrong. |
|
|||
|
Quote:
__________________
"The universe is driven by the complex interaction between three ingredients: matter, energy, and enlightened self-interest." - G'Kar |