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Newton's Laws with one body inside another
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[QUOTE="sophiecentaur, post: 6515393, member: 199289"] And that results in a simple harmonic motion because the 'restoring force' towards the centre of the Earth is proportional to the displacement from the centre. Practicalities like enormous temperatures and pressures as you go down (and the Earth's rotation), mean that the experiment is a non-starter BUT: the time period for a simple harmonic oscillator is independent of amplitude so you could repeat the experiment for real if you got a spherical asteroid with a hole through it and a small rock. (the outside bits of the Earth don't count). Interestingly, the period is (nearly) the same as the period of a satellite in low Earth orbit. Edit PS there is a vast amount of information about SHM but it nearly all gets Mathematical very quickly. I suggest you do a search and find yourself a hit that suits your level. Just imagine a future Richard Branson setting up such an extravagant experiment just for fun and to show how rich he is. [/QUOTE]
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Newton's Laws with one body inside another
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