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What will occur if one digs a hole in some moon/dead-planet without an atmosphere (and without a Lava Core), such that this hole shall have a 1 meter diameter and will be so deep that shall go through its core and appear on the other side of the moon?

Then one shall jump (or drop a ball) into that hole.

Will the object simply reach the other side of the planet/moon at speed of 0? Thus a harmonic motion from side to side of the planet?

Addition: Differences from If it was possible to dig a hole that went from one side of the Earth to the other...:

  1. This is vacuum (no atmosphere)
  2. I drop an object and do not jump inside the hole
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Yes, but asides the Harmonic motion well it also depends on the Gravity of the dead core(without lava), given it's somewhat active . If it were hypothetically possible to spoon dip a big hollow hole through the moon the Newtonian concept of gravity may have the core's gravity influenced or destroyed but if one considers the space fabric concept of Gravity well I certainly cannot say for a fact what might happen. But Newton's 2nd Law holds that a body would continue in its state of motion or rest except if altered(well in this case the gravity of the dead hollow core would be the altering agent).

P.S There's likely to be a Gravitational anomaly if we get to swiftly bore up a hole through a planet's core. Hence one can't be certain for sure as to what exactly would happen.

linker
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    I have no idea what this answer is trying to say, but I suspect it's not based on our current understanding of physics. – probably_someone Nov 13 '18 at 16:40
  • It looks like you're saying that the body will travel straight at an unchanged velocity; that's completely wrong: you'll actually see something resembling SHM. More importantly, it's important to not digress to the unimportant point of what the other effects the construction of such a hole may have (and that too make an ambiguous claim regarding that), and focus on the question as asked. –  Nov 14 '18 at 09:37
  • I don't totally agree. because I believe the question can only have a speculative or objective answer if its without any limitations on unlikely events occuring. boring up a hole passing through a planet's core could for one reason result in unknown certainties such as the possibility of the the core imploding, the core engulfing the planet or the core creating gravitational anomalies. – linker Nov 16 '18 at 09:52
  • If the anomalies/uncertainties causes the core to loose it's Gravitation with the planet still intact then Newton's second law would be applicable to the question. If not then I agree with the SHM of the object. No one has ever done it so to predict or say exactly event X would occur when it hasn't been done would only be... some giant scientific speculation with some bogus mathematical evidence to cap it off(given you have a bunch of equations to support the claim). – linker Nov 16 '18 at 09:53
  • BTW Newtonian Gravity assumed space was flat while Einstein's holds that space was curved and could as well bend light. If the object is dropped through the hole I don't believe it's motion would be the same if one considers both concepts of Gravity differently. – linker Nov 16 '18 at 10:06
  • e.g. lets assume its possible to jump/drop the object through the hole at WAP speed? What would be the motion of the object be like? – linker Nov 16 '18 at 10:26