Measuring Mass of a Bowling Ball Dropped into a Black Hole

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Discussion Overview

The discussion revolves around the measurement of the mass of a bowling ball as it is lowered towards a black hole, particularly focusing on the perspectives of both an astronaut holding the ball and a distant observer. The conversation explores theoretical implications of mass measurement near a black hole's event horizon, the relativity of mass, and the potential recovery of rest mass as energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that an observer bound to the bowling ball would not detect a loss of mass, suggesting that any measurable effects would be relative.
  • One participant describes an experiment where the astronaut measures the mass of the bowling ball by observing its acceleration while applying a known force.
  • Another participant questions how the distant observer would interpret the astronaut's measurements and whether he would see the astronaut successfully measure the mass of the ball.
  • Some participants discuss the implications of relativistic effects on the perceived force and acceleration of the bowling ball as viewed by the distant observer.
  • A participant clarifies that the distant observer cannot determine the mass of the bowling ball relative to himself using the force exerted by the astronaut, as he would need to exert his own force to measure it accurately.

Areas of Agreement / Disagreement

Participants express differing views on the implications of mass measurement in the context of black holes, with no consensus reached on how the distant observer would interpret the astronaut's findings or the nature of mass changes as the ball approaches the event horizon.

Contextual Notes

There are unresolved questions regarding the assumptions made about mass recovery and the effects of relativity on measurements taken by observers in different frames of reference.

  • #31
metastable said:
Does this not imply then that the "lowerer" will always be using more power in the experiment than is "gained" back via the tether?

So far we have been ignoring any power requirements for exerting thrust. This is typical for these kinds of thought experiments. :wink:

Since this thread is about how we would measure the mass of the object being lowered, not about whether any net energy can be extracted from the lowering process once the energy requirements for holding station are included, ignoring the power required to exert thrust for this thread does not seem objectionable. If you want to discuss the net energy extraction question, it would be fine to start a separate thread on that topic.
 
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  • #32
https://en.wikipedia.org/wiki/Ultimate_tensile_strength
I calculated a practical example. Make a 1 x 1 millimeter^2 thick tether of graphene and put it between the Moon and the surface of Earth.

Its mass is 380 metric tons, weight 60,000 Newtons, and it can lift a load of 7 tons from Earth.

The redshift from the surface of Earth is less than 10^-9. That is too small. We cannot measure the increase in the inertial mass of the 7 ton load.
 
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