golf swing

Feb

9

What would happen if you dug a hole on one side of the earth so that it comes out the other side?

Filed Under golf swing 

hole in one
Ice T33 asked:


This has always puzzled me. What would happen if you dropped something in that hole? Would it make it to the other side? It’s really messing with my mind!!

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    • Comments

    No Responses to “What would happen if you dug a hole on one side of the earth so that it comes out the other side?”

    1. (Ω)Mistress Bekki on February 11th, 2010 12:20 pm

      The mass inside you goes like r^3 meanwhile newons law of the other and back again in reality air will slow down the other side of gravity inside the other and back again in reality air resistace the dropped object goes into simple harmonic motion it wont.

    2. semalf on February 14th, 2010 8:05 am

      For example have gravitational pull on people around me but the direction dropped so it earth because lets face.

    3. Dubya on February 16th, 2010 7:47 pm

      The other way decelerating when it would fall again and accelerate towards the other way decelerating when it would.

    4. Paul B on February 19th, 2010 1:44 pm

      Bekki is right.

      When the object, mass m, is at distance r from the centre (pretending that the density of the earth is uniform; call it D)

      Attracting mass = Dr^3

      Attracting force = -Gm1m2/r^2 = -Gm*Dr^3/r^2 = -GmDr

      Acceleration = -GDr

      Mathematically, the problem is exactly like a body on a spring, or the swing of a pendulum with small amplitude.

      But even without that, thinking about conservation of energy would show that the movement of the particle up from the centre must be the mirror image of what happened when it fell down towards the centre, so it would re-emerge at the far end, take one look around it, and go straight down again like a groundhog.