- #31
starz_above
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Thanks to all for their comments. Much appreciated.
Dropping a mass directly over the north pole
- Context: Undergrad
- Thread starter starz_above
- Start date
-
- Tags
- Mass North pole Pole
Click For Summary
Discussion Overview
The discussion revolves around the theoretical implications of dropping a mass from a height of 6 km directly above the North Pole. Participants explore the effects of gravitational forces, the Earth's motion, and the Coriolis effect on the mass's descent, while considering the scenario in a vacuum without air resistance.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- Some participants question whether the mass would land directly on point A, considering the Earth's motion beneath it.
- Others argue that if air resistance is neglected, the time to fall from 6 km would not be 10 minutes, suggesting a much shorter descent time.
- One participant introduces the idea that the Earth's orbit around the Sun could affect the mass's trajectory, raising questions about how the mass remains above point A during its fall.
- Several participants discuss the Coriolis effect, with some suggesting it may not apply at the poles, while others argue that it does influence the trajectory of falling objects.
- There is a consideration of gravitational influences from the Sun and Moon, with participants noting that these would affect both the mass and the Earth similarly if the mass is released at rest relative to the Earth.
- One participant highlights the need to account for the initial velocities of both the mass and the Earth, questioning whether the mass would need a higher velocity to land on point A given the time of descent.
- Another participant mentions that the problem could be simplified if ignoring the Sun's influence, but acknowledges the complexity introduced by including it.
Areas of Agreement / Disagreement
Participants express differing views on the effects of the Earth's motion, the Coriolis effect, and gravitational influences, indicating that multiple competing perspectives remain without a consensus on the outcome of the mass's descent.
Contextual Notes
There are unresolved assumptions regarding the initial conditions of the mass's release, the effects of external gravitational forces, and the implications of the Coriolis effect at the poles. The discussion also touches on the complexities of orbital mechanics when considering the mass's trajectory.
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