Escaping Imprisonment on Earth or the Moon?

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Homework Help Overview

The discussion revolves around a hypothetical scenario where one must determine whether they are on Earth or the Moon while being held captive in an isolated room with limited resources. The subject area includes concepts of gravitational acceleration and motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore various methods to measure gravitational acceleration, such as timing the fall of a shoe or using a pendulum. Questions arise regarding the implications of weight perception and the specific resources available for measurement.

Discussion Status

Participants are actively discussing potential methods to approach the problem, with some suggesting specific techniques like dropping objects or creating a pendulum. There is no explicit consensus, but multiple interpretations and methods are being explored.

Contextual Notes

There is mention of a teacher assigning this thought experiment, indicating it may be part of a classroom discussion. The constraints of the scenario include limited tools and the need to derive conclusions based solely on the properties of gravity.

jmccray
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Suppose you were kidnapped and held prisoner by space invaders in a completely isolated room, with nothing but a watch and a pair of shoes (including shoelaces of known length). Explain how you might determine whether this room is on Earth or on the moon.
 
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Personally, I'd just determine whether or not I seemed to be at my normal weight. Is this homework?
 
just something a teacher asked us to think about and discuss tomorrow.
 
There are lots of ways that you could do it, such as dropping the shoe and timing its fall with the watch (if it's accurate enough). Gravitational acceleration will obviously be different. I get the impression, though, from the specific mention of shoelaces, that your teacher is looking for a pendulum whose oscillations you can time.
 
Either measure a set height above the ground, drop your shoes and time the time taken to hit the ground (then use equations of motion to find gravity) or do as Danger suggests and make a pendulum and use oscillation equations to find gravity.
 

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