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Title: Brainteaser: There's an airplane on the runway..
Source: Elsewhere
URL Source: http://www.someplaceelse.com
Published: Dec 1, 2005
Author: I have no idea
Post Date: 2005-12-01 01:10:02 by Jhoffa_
Keywords: Brainteaser:, airplane, runway..
Views: 2186
Comments: 202

Imagine a plane is sat on the beginning of a massive conveyor belt/travelator type arrangement, as wide and as long as a runway, and intends to take off. The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation. There is no wind.

Can the plane take off?

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Begin Trace Mode for Comment # 146.

#125. To: Jhoffa_ (#0)

Here's one for you.

Your in a boat in a pond. You throw something overboard, it sinks.

Does the level of the pond go up, go down or stay the same?

timetobuildaboat  posted on  2005-12-02   18:13:10 ET  Reply   Untrace   Trace   Private Reply  


#130. To: timetobuildaboat (#125)

it sinks.

Does the level of the pond go up, go down or stay the same?

"Unthinking respect for authority is the greatest enemy of truth." - Albert Einstein

I'll bite. Because what you threw sinks, it is denser than water. The boat would rise upwards enough to equal the water weight of the rock (negitive displacement?) This would cause the water in the pond to become lower.

BUT, the rock's volume would cause the water level to rise. As the rock is denser than the water (it sinks), the volume of water displaced by the rock is less than the volume of water need to float the rock when it was in the boat.

So the boat rises AND the level of the water is lowered.

Nice question.

tom007  posted on  2005-12-02   19:33:41 ET  Reply   Untrace   Trace   Private Reply  


#131. To: tom007 (#130)

So the boat rises AND the level of the water is lowered.

Ding, ding, ding.....we have a winner.

The simple fact that it sinks tells you that it is denser than water and would displace more water in the boat than it does when you let it fall to the bottom where it would rest it's weight.

timetobuildaboat  posted on  2005-12-02   19:43:07 ET  Reply   Untrace   Trace   Private Reply  


#135. To: timetobuildaboat (#131)

So the boat rises AND the level of the water is lowered.

Ding, ding, ding.....we have a winner.

The simple fact that it sinks tells you that it is denser than water and would displace more water in the boat than it does when you let it fall to the bottom where it would rest it's weight.

I stand corrected. I should have done the math. I got too caught up in taking a stab at political humor, lol.

A 100 ton boat displaces 100 tons of water. If 99.999 tons of nearly infinite density material contained within a thimble is suddenly dumped over the side it will displace next to nothing, and neither will what's left of the boat.

My bad. Well done.

markm0722  posted on  2005-12-02   19:54:20 ET  Reply   Untrace   Trace   Private Reply  


#138. To: markm0722 (#135)

Imagine a boat with a chunk of a star in it weighing hundreds of tons and it's the size of a thimble and you throw it overboard......

timetobuildaboat  posted on  2005-12-02   19:56:48 ET  Reply   Untrace   Trace   Private Reply  


#146. To: timetobuildaboat (#138)

Imagine a boat with a chunk of a star in it weighing hundreds of tons and it's the size of a thimble and you throw it overboard......

I actually used a bit of a neutron star in my mental picture (give or take), so you aren't far off! ;)

markm0722  posted on  2005-12-02   20:06:37 ET  Reply   Untrace   Trace   Private Reply  


Replies to Comment # 146.

#147. To: markm0722 (#146)

One of the brighter of the minions.....congratulations

timetobuildaboat  posted on  2005-12-02 20:08:26 ET  Reply   Untrace   Trace   Private Reply  


#148. To: markm0722 (#146)

Actually supprised you did not go on about the conveyor/plane situatuion like many of the others. Kinda strange IMHO.

timetobuildaboat  posted on  2005-12-02 20:09:49 ET  Reply   Untrace   Trace   Private Reply  


End Trace Mode for Comment # 146.

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