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Thinking Physics Question 5

Blogs > micronesia
Post a Reply
micronesia
Profile Blog Joined July 2006
United States24782 Posts
Last Edited: 2008-10-15 23:56:11
October 15 2008 23:55 GMT
#1
For those who didn't read the introductory entry, head over to http://www.teamliquid.net/blogs/viewblog.php?topic_id=79275

Last time the question of the week was:

Question 4
Rotation

[image loading]


The answer is d. The way I thought of it was, if the original angular momentum is to the left, and the new angular momentum is slightly South of West, then the change in angular momentum is mostly South. A South angular momentum corresponds to the briefcase rotating top to the left... but that would be increasing the total angular momentum. Instead, the briefcase goes the other way (top left) in order to counteract the effect. I'm not sure if this explanation is 100% as gyroscopic motion is rather complicated. If you idealize the flywheel as a square pip with water flowing in a 'circle' and think about it using forces... then you can arrive at the same conclusion. This is a like a 3.5/5 difficulty I'd say.

MasterOfChaos was first to provide the correct answer, and I think evanthebouncy! provided a good, alternate explanation.

Question 5
Gravity
Imagine two small droplets of water floating in empty space. Our conventional theory of gravity says that they will attract and accelerate towards each other. But what if instead you had water everywhere except for two small bubbles (empty spaces) nearby in the large mass of water?

The bubbles would:

a) Move Apart
b) Not Move At All
c) Move towards each other (attract)

Once again, please make sure to include explanations (in spoilers) along with your answer. This one is rather tricky in my opinion. This is also a nice lead-in for fluids next time.

*****
ModeratorThere are animal crackers for people and there are people crackers for animals.
raiame
Profile Joined December 2007
United States421 Posts
October 16 2008 00:09 GMT
#2
+ Show Spoiler +
I think the answer would be a, because if it were completely filled then nothing would happen at all, so these bubbles have effectively negative mass. Although the force of gravity would attract water together, towards the center, the bubbles would move apart.
Insane Lane
Profile Blog Joined August 2008
United States397 Posts
October 16 2008 00:22 GMT
#3
+ Show Spoiler +
A, move apart

Because less gravity is exerted on the bubbles in the direction of other than the surrounding liquid, they will tend to be attracted away from each other.
Underwhelmed
Profile Blog Joined January 2008
United States207 Posts
Last Edited: 2008-10-16 21:56:14
October 16 2008 00:42 GMT
#4
+ Show Spoiler +
B. If you have an infinite volume of water, the system has no center of mass.

Edit: If the mass of water is finite, there exists a center of mass that the water will gravitate towards, which will push the bubbles outwards, radially. Unless the bubbles begin on the same radius, they will be moving away from each other.
doghunter
Profile Blog Joined July 2008
United States23 Posts
Last Edited: 2008-10-16 00:47:15
October 16 2008 00:46 GMT
#5
+ Show Spoiler +

two bubbles have more surface area than the two bubbles combined, so due to cohesion of like molecules the spaces would move towards each other
Nitrogen
Profile Blog Joined February 2008
United States5345 Posts
October 16 2008 01:04 GMT
#6
+ Show Spoiler +
b, if the bubbles are empty space, they therefore have no mass and are not influenced by gravity.
UNFUCK YOURSELF
alphafuzard
Profile Blog Joined June 2007
United States1610 Posts
October 16 2008 01:49 GMT
#7
+ Show Spoiler +
B empty space doesn't get affected by gravity no?
more weight
renezerg
Profile Joined May 2007
Peru186 Posts
October 16 2008 02:03 GMT
#8
+ Show Spoiler +

first of all my english sucks xD
well my answer would be C,,,
you are just replacing an empty space by an space full of water, so i think a bubble would deform that space, which is full of water, so due to that deformation the other bubble will be attracted to the first one. So attraction will be the answer ,,,IMO xD.
gg
Underwhelmed
Profile Blog Joined January 2008
United States207 Posts
October 16 2008 05:13 GMT
#9
On October 16 2008 10:04 Nitrogen23 wrote:
+ Show Spoiler +
b, if the bubbles are empty space, they therefore have no mass and are not influenced by gravity.

+ Show Spoiler +
But the water surrounding the bubble have mass.
Nitrogen
Profile Blog Joined February 2008
United States5345 Posts
Last Edited: 2008-10-16 05:35:43
October 16 2008 05:20 GMT
#10
On October 16 2008 14:13 Underwhelmed wrote:
Show nested quote +
On October 16 2008 10:04 Nitrogen23 wrote:
+ Show Spoiler +
b, if the bubbles are empty space, they therefore have no mass and are not influenced by gravity.

+ Show Spoiler +
But the water surrounding the bubble have mass.


+ Show Spoiler +
we aren't talking about the water, i don't believe
he also specifies that the bubbles are just the empty space when he says "bubbles (empty spaces)"

edit: oh wait, i think i get what you're saying. that the water around the bubble moves towards an area, effectively moving the entire bubble itself. not sure which one micronesia means, we'll just ask him tomorrow.
UNFUCK YOURSELF
MasterOfChaos
Profile Blog Joined April 2007
Germany2896 Posts
Last Edited: 2008-10-16 09:42:23
October 16 2008 09:40 GMT
#11
+ Show Spoiler +
Assume the pressure/density is constant in the whole space except the two bubbles. I assume newtonian gravity, no general relativity/deformation of spacetime. Because else space itself might collapse.
Now I assume that the bubbles are shielded against the water, ie by a thin glass wall, else they'd simply fill with water.
The gravity field points cleary away from the bubbles, so the water moves outward until the gravity is compensated by a density/pressure gradient with lower pressure in the space between the bubbles. During the beginning this process the water might take the bubbles outward a bit.
In this new situation the bubbles try to move to the lower pressure and since no gravity affects them they will move inward. So my answer is
c) Move towards each other (attract)
LiquipediaOne eye to kill. Two eyes to live.
Luddite
Profile Blog Joined April 2007
United States2315 Posts
October 16 2008 17:59 GMT
#12
+ Show Spoiler +
We can just think of the bubbles as particles of negative mass (holes, basically). However, since gravity goes as the SQUARE of the mass, the negative sign cancels out, so they still attract. C
Can't believe I'm still here playing this same game
Too_MuchZerg
Profile Blog Joined February 2008
Finland2818 Posts
October 19 2008 17:44 GMT
#13
+ Show Spoiler +
I always though that every object attracts each other, even if you put 2 bottles they still attract each other. Thing that keeps them apart is friction (which is much higher than their force to attract each other.
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