Why is inertia/relativity so hard to understand?

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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #30 on: April 24, 2014, 09:53:45 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer. 

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th3rm0m3t3r0

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Re: Why is inertia/relativity so hard to understand?
« Reply #31 on: April 24, 2014, 10:04:00 AM »
If your friends are standing around you, then they are in your location and would experience the same thing that you experience. 

You do understand the meaning of local and outside observer, do you not?

Sure, but the problem is, there's a chance for many different "locals".

Each individual person is a "local" system.

The entire box is a "local system".

What if someone is in a helicopter overhead observing? Then that entire group becomes a "local system"

What if we put the same people in a room, with only cameras recording the outside of the building? Then, to some observing through the camera, the ground in the building should be rising up, until it breaks through the roof?
Do you understand the difference between a non-inertial FoR and an inertial FoR?


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RandomREalist

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Re: Why is inertia/relativity so hard to understand?
« Reply #32 on: April 24, 2014, 10:07:28 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2

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th3rm0m3t3r0

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Re: Why is inertia/relativity so hard to understand?
« Reply #33 on: April 24, 2014, 10:08:30 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You understand that the Earth is an, at least, semi-solid body, right?


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RandomREalist

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Re: Why is inertia/relativity so hard to understand?
« Reply #34 on: April 24, 2014, 10:13:45 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You understand that the Earth is an, at least, semi-solid body, right?

Yep, which to me, implies that this upward movement to catch up to someone jumping shouldn't be possible

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th3rm0m3t3r0

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Re: Why is inertia/relativity so hard to understand?
« Reply #35 on: April 24, 2014, 10:16:26 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You understand that the Earth is an, at least, semi-solid body, right?

Yep, which to me, implies that this upward movement to catch up to someone jumping shouldn't be possible
Why?
The Earth is accelerating upwards at 9.81 m/s^2.
When you jump, you are accelerating upwards at a rate a bit faster than this.
That is, until you hit the apex of your jump, then you start decelerating. The deceleration allows for the Earth to catch back up to you. When you're on the ground, you're local to the Earth's acceleration once more.
What's the problem?
« Last Edit: April 24, 2014, 10:22:36 AM by th3rm0m3t3r0 »


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DuckDodgers

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Re: Why is inertia/relativity so hard to understand?
« Reply #36 on: April 24, 2014, 10:59:56 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You understand that the Earth is an, at least, semi-solid body, right?

Yep, which to me, implies that this upward movement to catch up to someone jumping shouldn't be possible
Why?
The Earth is accelerating upwards at 9.81 m/s^2.
When you jump, you are accelerating upwards at a rate a bit faster than this.
That is, until you hit the apex of your jump, then you start decelerating. The deceleration allows for the Earth to catch back up to you. When you're on the ground, you're local to the Earth's acceleration once more.
What's the problem?
That's not quite accurate.  When you jump, you have a greater acceleration for a small amount of time while you are applying the force to cause the jump.  As soon as you leave the ground, you are traveling at a constant speed. For example, let's assume a 20m/s^2 jump acceleration which is applied over .5 seconds, and round the UA to 10 for simplicity.  You will be traveling 10 m/s faster than the earth as soon as you leave the ground and will continue to travel at this speed
 The earth will continue to accelerate at 10m/s^2 though and well catch your speed at 1 second after you jumped and catch up to you between the 1 and 2 second mark.
markjo, what force can not pass through a solid or liquid?
Magnetism for one and electric is the other.

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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #37 on: April 24, 2014, 11:04:46 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2

You do understand that the Earth is the spaceship in my analogy, right?  Everybody on the Earth has basically the same Frame of Reference.  You would have to be floating in space, watching the Earth wiz by in order to be an outside observer. 

Why do I feel light I am lecturing to a bunch of middle schoolers? 

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th3rm0m3t3r0

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Re: Why is inertia/relativity so hard to understand?
« Reply #38 on: April 24, 2014, 11:37:40 AM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2
You understand that the Earth is an, at least, semi-solid body, right?

Yep, which to me, implies that this upward movement to catch up to someone jumping shouldn't be possible
Why?
The Earth is accelerating upwards at 9.81 m/s^2.
When you jump, you are accelerating upwards at a rate a bit faster than this.
That is, until you hit the apex of your jump, then you start decelerating. The deceleration allows for the Earth to catch back up to you. When you're on the ground, you're local to the Earth's acceleration once more.
What's the problem?
That's not quite accurate.  When you jump, you have a greater acceleration for a small amount of time while you are applying the force to cause the jump.  As soon as you leave the ground, you are traveling at a constant speed. For example, let's assume a 20m/s^2 jump acceleration which is applied over .5 seconds, and round the UA to 10 for simplicity.  You will be traveling 10 m/s faster than the earth as soon as you leave the ground and will continue to travel at this speed
 The earth will continue to accelerate at 10m/s^2 though and well catch your speed at 1 second after you jumped and catch up to you between the 1 and 2 second mark.
I feel silly.
I have not yet had my coffee this morning.


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RandomREalist

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Re: Why is inertia/relativity so hard to understand?
« Reply #39 on: April 24, 2014, 12:51:31 PM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2

You do understand that the Earth is the spaceship in my analogy, right?  Everybody on the Earth has basically the same Frame of Reference.  You would have to be floating in space, watching the Earth wiz by in order to be an outside observer. 

Why do I feel light I am lecturing to a bunch of middle schoolers?

Maybe you're just not using accurate language, or maybe I'm just not completely focused (if so, apologies, final exam time tends to do that).

Earlier in the thread, you said the earth "speeds up" to meet an object falling. That to me, can lead to  one of a few different scenarios.

1) someone jumps, and the entire fabric of the earth changes speed (faster than the 9.8 that you claim it's constantly moving at) to catch the person. This would lead to everyone else in the world experiencing an unanticipated shift in THEIR acceleration, probably knocking them to the ground.

2) someone jumps, and their immediately local space speeds up to bring them back down. This should result in someone separate from the immediate point of jumping, to visibly see something move up, and possibly create new matter beneath them.

I'm not sure if either of those things make sense, I'm feeling a little punch drunk you might say, but hopefully this will.

Imagine you are at ground level, stationary, and able to fire something perfectly vertically at 9.8 m/s, what would happen? (this isn't a trick question, and I know what you'll say so just think about it)

Now, imagine the same projectile, but this time, you yourself are ALSO sustaining an upward movement of 9.8 m/s^2 (meaning, you are already away from the earth and maintaining distance away from it.) what would happen with the projectile?

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th3rm0m3t3r0

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Re: Why is inertia/relativity so hard to understand?
« Reply #40 on: April 24, 2014, 01:06:46 PM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2

You do understand that the Earth is the spaceship in my analogy, right?  Everybody on the Earth has basically the same Frame of Reference.  You would have to be floating in space, watching the Earth wiz by in order to be an outside observer. 

Why do I feel light I am lecturing to a bunch of middle schoolers?

Maybe you're just not using accurate language, or maybe I'm just not completely focused (if so, apologies, final exam time tends to do that).

Earlier in the thread, you said the earth "speeds up" to meet an object falling. That to me, can lead to  one of a few different scenarios.

1) someone jumps, and the entire fabric of the earth changes speed (faster than the 9.8 that you claim it's constantly moving at) to catch the person. This would lead to everyone else in the world experiencing an unanticipated shift in THEIR acceleration, probably knocking them to the ground.

2) someone jumps, and their immediately local space speeds up to bring them back down. This should result in someone separate from the immediate point of jumping, to visibly see something move up, and possibly create new matter beneath them.

I'm not sure if either of those things make sense, I'm feeling a little punch drunk you might say, but hopefully this will.

Imagine you are at ground level, stationary, and able to fire something perfectly vertically at 9.8 m/s, what would happen? (this isn't a trick question, and I know what you'll say so just think about it)

Now, imagine the same projectile, but this time, you yourself are ALSO sustaining an upward movement of 9.8 m/s^2 (meaning, you are already away from the earth and maintaining distance away from it.) what would happen with the projectile?
If by "speed up" you mean accelerate, what is the problem with the Earth accelerating up to a person who has jumped?
The projectile is the same thing as someone jumping, and the same thing would happen.
Refer to DuckDodger's post.


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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #41 on: April 24, 2014, 01:10:52 PM »
When someone jumps, for a short amount of time, they are traveling faster than the Earth.  However, they are not accelerating, but the Earth is. 

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RandomREalist

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Re: Why is inertia/relativity so hard to understand?
« Reply #42 on: April 24, 2014, 01:16:21 PM »
If one person is on a spaceship which is accelerating at 9.8 m/s/s and another person is stationary floating in space, the person in the spaceship feels the effects of the acceleration while the person floating in space does not.  This is the difference between local and outside observer.

So lets go back to the people in/outside the building. If someone jumps in the building, and someone stands outside the building, than the ground needs to be doing something different to "catch up" to the person n the building, because according to you, we're all moving upwards at 9.8 m/s^2

You do understand that the Earth is the spaceship in my analogy, right?  Everybody on the Earth has basically the same Frame of Reference.  You would have to be floating in space, watching the Earth wiz by in order to be an outside observer. 

Why do I feel light I am lecturing to a bunch of middle schoolers?

Maybe you're just not using accurate language, or maybe I'm just not completely focused (if so, apologies, final exam time tends to do that).

Earlier in the thread, you said the earth "speeds up" to meet an object falling. That to me, can lead to  one of a few different scenarios.

1) someone jumps, and the entire fabric of the earth changes speed (faster than the 9.8 that you claim it's constantly moving at) to catch the person. This would lead to everyone else in the world experiencing an unanticipated shift in THEIR acceleration, probably knocking them to the ground.

2) someone jumps, and their immediately local space speeds up to bring them back down. This should result in someone separate from the immediate point of jumping, to visibly see something move up, and possibly create new matter beneath them.

I'm not sure if either of those things make sense, I'm feeling a little punch drunk you might say, but hopefully this will.

Imagine you are at ground level, stationary, and able to fire something perfectly vertically at 9.8 m/s, what would happen? (this isn't a trick question, and I know what you'll say so just think about it)

Now, imagine the same projectile, but this time, you yourself are ALSO sustaining an upward movement of 9.8 m/s^2 (meaning, you are already away from the earth and maintaining distance away from it.) what would happen with the projectile?
If by "speed up" you mean accelerate, what is the problem with the Earth accelerating up to a person who has jumped?
The projectile is the same thing as someone jumping, and the same thing would happen.
Refer to DuckDodger's post.

So the projectile will fire, and continue moving until it slows down enough so the ground will catch up to it?

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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #43 on: April 24, 2014, 01:25:54 PM »
Nothing is slowing down.  You are really having a hard time understanding relativity.  If the projectile is going at one speed, and the Earth is accelerating, it will eventually catch up to the  projectile.  Nothing is slowing down (even though air will slow it down horizontally).

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RandomREalist

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Re: Why is inertia/relativity so hard to understand?
« Reply #44 on: April 24, 2014, 01:59:34 PM »
I'm pretty sure air resistance will affect things rising/falling vertically as well.

Unless this is another special property of the flat earth i don't remember seeing. But here on my round earth, a person falling to the ground will fall slower if they are horizontal, than if they are vertically oriented, and streamlined.

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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #45 on: April 24, 2014, 02:06:07 PM »
Yes, I agree.  Air resistance would have an affect on a falling body.  However, we can neglect this for the sake of this discussion. 

Re: Why is inertia/relativity so hard to understand?
« Reply #46 on: April 24, 2014, 06:25:57 PM »
Yes, of course the effect is local.  An outside observer would not experience the same effect.  What is your point?
No, not just an outside observer. Two observers far apart. That's the meaning of local, and that's why the equivalence principle is worded that way. Tidal forces and/or a gravitational field that is not constant in space break the equivalence between acceleration and gravitation, but as long as you are is a region of spacetime where these effects can be neglected, the equivalence principle holds. But, since we measure differences in the gravitational field on earth as a whole (not to mention tidal forces), it either cannot be uniformly accelerated or another mechanism is responsible for the variation. I've seen the equivalence principle mentioned a bunch of times here as an answer to questions about UA, but the fact that it only holds locally is never mentioned.

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Son of Orospu

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Re: Why is inertia/relativity so hard to understand?
« Reply #47 on: April 24, 2014, 06:54:15 PM »
Read about spaceships approaching the speed of light.  Now, expand your mind and think of the Earth as the space ship.  Everyplace across the Earth is local to every other place. 

Re: Why is inertia/relativity so hard to understand?
« Reply #48 on: April 25, 2014, 08:45:55 AM »
Read about spaceships approaching the speed of light.  Now, expand your mind and think of the Earth as the space ship.  Everyplace across the Earth is local to every other place.
Apparently there's a misunderstanding of the meaning of local. Local in this case means a small enough region of spacetime, so that effects of tidal forces and/or differences in the gravitational field cannot be measured.
Take for example (imagining that gravity exists) a perfectly homogeneous sphere. Someone in a lab only a small fraction of the circumference of the sphere (assuming no outside influences) wouldn't be able to distinguish between a gravitational field and acceleration. However, once you place two plumb bobs wide apart, at some point you will be able to measure a difference in the distance from the tops and bottoms. This means that this experiment is not local anymore and you detected the effects gravitation.

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markjo

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Re: Why is inertia/relativity so hard to understand?
« Reply #49 on: April 25, 2014, 11:56:35 AM »
Tidal forces, and a more precise definition

So far, so simple. Too simple, in fact, in several respects. Strictly speaking, all that was said about the equivalence of gravity and acceleration is true only for gravitational fields that are strictly homogeneous. Only in homogeneous gravitational fields are all bodies - per definition - accelerated in exactly the same way, namely in exactly the same direction and at exactly the same rate; as a result, it is indeed true that a researcher inside a cabin cannot distinguish acceleration from gravity. But real gravitational fields are always to a certain extent inhomogeneous.

Take, for example, the gravitational field of the earth. True, here on the surface, looking at experiments which take up only a very, very small fraction f the total surface area of the earth, the gravitational field is, to good approximation, homogeneous: all objects fall to the floor along parallel paths, in the same direction ("down") and with the same acceleration (at least as long as the effects of air friction can be neglected). But if we look closer, the situation is a bit more complex. Here is an example where the deviations from homogeneity are clearly visible - a truly gigantic elevator which contains two spheres, all falling towards the earth:
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