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Been on the internet since i was just 6 years old and been on funnyjunk since 2007 with an account made only in 2010
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|#207 - Agnosticism is considered preferable to atheism on this site p… [+] (1 new reply)||01/29/2015 on Bar Joke||0|
|#194 - I am by all means an expert on gym and gym related topics and …||01/29/2015 on Bar Joke||+1|
|#192 - Agnostic atheist means "I don't know whether or not there…||01/29/2015 on Bar Joke||0|
|#148 - Agnostic is probably the most reasonable stance. Seei… [+] (1 new reply)||01/29/2015 on Bar Joke||0|
|#13 - Assuming the hole is empty with vaccuum and the Earth is perfe… [+] (3 new replies)||01/29/2015 on Earth Facts||+33|
#99 - serpens (01/30/2015) [-]
Also an Important note, is the rotation of the earth. It must also be at the poles, or the earth must stop spinning for this jump. There is also likely a slightly more dense side of the earth, and if this were substantial enough you would not go all the way through (if the greater mass was in line with the hole and on the side of the planet you jumped from), go too far out the other side of the hole (If the greater mass was in line with the hole but on the opposite side of the planet from where you jumped), or crash into a wall regardless of whether the earth was rotating (If the mass was not in line with the hole)
I'll do the math in the next comment to show how long it would take if the mass of the earth stayed in tact and all the above assumptions (in my and tadzingo's comment are fulfilled. (most importantly the vacuum)
#104 - serpens (01/30/2015) [-]
First the numbers. The diameter of the earth is 12,720 Km from pole to pole (aproximately), the acceleration from gravity on earth at the north pole is 9.834 m/s^2.
There are very important mathematical calculations left out due to simplicity's sake that involve the increase of mass behind you as you accellerate through the ground, for our purposes I will exclude those forcesuntil the other side of the earth where they become the force that slow you down (faster than your acceleration.) If I can calculate them later (again assuming a homogeneous Earth uncondensed by gravity) I will and it will be the appropriate time.
I'll convert the distance to meters for the acceleration and divide by 2 to calculate only the period in which it is becoming faster. = 6,360,000m
If accelerating at a natural velocity for the altitude (measured by the distance to the center of mass from where you jump in) it would take you (D = .5*a*T^2 for T) 1137s
Again, assuming you were not being slowed down by the increasing earth behind you, you simply double the time (given the assumptions earlier) due to the same acceleration slowing you down now you get (1137*2)/60= 37.9 min
This is the amount of time it would take for you to move through the earth given that you only use the theoretical gravity singularity at the earth's center of mass. If I have the time I'll calculate the other stuff assuming a homogeneous density to the earth.
#105 - serpens (01/30/2015) [-]
Gah, I'm too tired for this, I would need to find how to apply the mass being left behind in the dome to the 9.834m/s^2. To do this I could take the central angle to take the ratio of the distance covered to the distance yet to be covered. This would have the added bonus of ending naturally when the 2 accelerations cancelled each other out and you had a velocity of 0m/s. I just don't know how to start with the one end having no mass and a central angle of 0 degrees (this makes sense but from here I need to find the algebra to apply to the 9.834x), I could figure it out but I should have been asleep hours ago. Thought I'd tell you what I'd been thinking though, maybe someone could finish this for me, it's hardly calculus. (But for all I know I'll come back to this tomorrow and the answer is just something pathetically easy and I've been rambling over nothing for an hour.)
|#218 - Dear God, this **** is spilling over into real life.||01/27/2015 on Mail Time||+14|
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#26 - Aristizle (01/23/2015) [-]
Boost the bash. Its a good time if you've never been there. The top 100 are great. We would print out pages from the site and read them on the bus. This was before internet on your phones, you know. Back in my day, we had to plan out our idle entertainment beforehand. Ask jeeves if you don't believe me.