Water Flow in Free Fall: Observing the Equivalence Principle

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SUMMARY

The discussion centers on the behavior of water flowing from a container in free fall, specifically analyzing the implications of the equivalence principle. When the container is dropped, the water does not flow downward in the traditional sense; instead, it appears to curve upward from the perspective of an observer at the bottom of the mine shaft. The conclusion drawn is that the correct answer to the posed question is option d), indicating that the water travels in a horizontal straight line relative to the falling container.

PREREQUISITES
  • Understanding of the equivalence principle in general relativity
  • Basic knowledge of projectile motion and parabolic trajectories
  • Familiarity with Newton's laws of motion, particularly Fg = mg
  • Concept of free fall and its effects on objects in motion
NEXT STEPS
  • Research the implications of the equivalence principle in general relativity
  • Study the effects of free fall on fluid dynamics
  • Explore projectile motion equations and their applications in varying gravitational fields
  • Examine real-world experiments demonstrating the equivalence principle
USEFUL FOR

Students of physics, educators teaching general relativity concepts, and anyone interested in the practical applications of the equivalence principle in fluid dynamics.

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Homework Statement


When a container full of water with a small hole in the side is at rest on a table, water flows out of the hole and follows an approximately parabolic arc before hitting the table. Suppose the same container is dropped down a mine shaft so that it is in free fall. Air resistance is negligible. As viewed by an observer standing at the bottom of the mine, the water flow:

a) diminishes
b) stops all together
c) travels in a horizontal straight line
d) curves upward
e) curves downward


Homework Equations



Fg = mg

The Attempt at a Solution



I believe the answer is d), because the water in the cup will be moving down with the cup, and will only release as much water as it would if it wasn't falling. That said, water flowing down would flow up from the perspective of the observer at the bottom of the mine, right?
 
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