The Maths and Science Thread - Collection of Problems and Facts

[AbhishekS]

At the center (core), the gravity zero. Won't he just be stuck there! :confused:

 

[Varun]

At the center (core), the gravity zero. Won't he just be stuck there!

His will would decide I guess, if he pushes himself downwards, he'd make it but he'd be burnt to death before that.

Varun added 3 Minutes and 5 Seconds later...

I mixed free fall with that thing in the diagram.

 

[P Squared]

But wait!!!!!!!!!!!!!!
You can't just dig a hole!!!
You start digging now you won't even reach the mantle.

 

[Kshitiz_Indian]

He won't just stay there because of zero gravity. He'll keep going further because of the momentum he developed while falling earlier. That momentum will take him further and then again the gravity will begin acting in the opposite direction, slowly increasing in magnitude, till a time his velocity would change direction and he would go the other way again. It might actually be a Simple Harmonic Motion...

 

[Dr. Pepper]

But he'd burn to ashes before that though, right?

 

[Kshitiz_Indian]

This is Physics, we assume many things. Assuming that he can widthstand the temperature is one of them.

 

[deathrevenge9]

If i dig a hole through the Earth (from one end to another), then if i jump through it, will i fall out the other side or what? Because when i jump in it i will be falling DOWN but how could i come out the other side falling DOWN. Thats impossible. :help:help:help:help:help

You will be roasted before coming out of the other end.

 

[Chewie]

This is a rather stupid hypothetical argument.

 

[AkshayC]

(See the image from bottom to top.)

What my observations say is that we'll keep oscillating between the two ends of hole passing through the core.

that's same staying in middle and oscillating between the pole is one and the same thing

akshaychauhan added 12 Minutes and 10 Seconds later...

You will be roasted before coming out of the other end.

I think you have not read the question properly.I am just assuming.

 

[Varun]

So as far as I see, Kshitiz has the best answer.

 

[AkshayC]

So as far as I see, Kshitiz has the best answer.

that's right

 

[AbhishekS]

I strongly feel that he will get stuck at some point. But still, I will accept what Kshitiz says.

 

[Abhas]

As Kshitiz mentioned, it will follow a simple harmonic motion, but due to the absence of vacuum, the man would eventually stop at the centre, in a very delicate balance.

 

[Kshitiz_Indian]

I strongly feel that he will get stuck at some point. But still, I will accept what Kshitiz says.

As Kshitiz mentioned, it will follow a simple harmonic motion, but due to the absence of vacuum, the man would eventually stop at the centre, in a very delicate balance.

My solution doesn't take into account any presence of air, or anything, just pure emptiness. I have now verified it by solving some equations, and I can pretty confidently say it'll be an ever lasting Simple Harmonic Motion, of course in the absence of factors liek air, water, etc.

Of course, we're also assuming the man didn't have any previous momentum before jumping into the whole. If he has that, then it might actually be possible that the initial momentum + the momentum the gravity develops, might actually let the man escape from the other end of the hole!

 

[AkshayC]

What happens when an irresistible force meets an immovable object?