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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.

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