How does the position of the Moon affect gravitational pull and weight on Earth?

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SUMMARY

The discussion focuses on the gravitational effects of the Moon on a person’s weight as it moves from being directly overhead to the opposite side of the Earth. Participants calculated the Moon's gravitational pull increase at 6.9% and the corresponding weight decrease at 0.000685%. They debated the correct interpretation of gravitational forces, concluding that the Moon's pull is always directed "up" relative to a person on the surface, affecting weight differently depending on its position. The analysis utilized Newton's Gravitation Equation and free body diagrams to clarify these effects.

PREREQUISITES
  • Newton's Gravitation Equation
  • Understanding of gravitational forces and weight
  • Basic knowledge of free body diagrams
  • Concept of tidal effects caused by celestial bodies
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  • Study the implications of Newton's Gravitation Equation in various contexts
  • Explore the concept of tidal forces and their effects on Earth
  • Learn about gravitational interactions in multi-body systems
  • Investigate the effects of celestial positioning on gravitational pull
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Students in physics, educators teaching gravitational concepts, and anyone interested in the effects of celestial bodies on terrestrial weight measurements.

  • #31
So then all points on Earth are still non-inertial? So I'm guessing then our inertial frame is just somewhere in space?
 
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  • #32
It can be somewhere in space or at barycentre between the Earth and Moon).

ehild
 
  • #33
Hold on, when we defined a_E in ehild's proof, it was due to the gravity of the moon. Doesn't the person also contribute to the Earth's acceleration?
 
  • #34
The mass of the man is very small with respect to the mass of the Earth. You can ignore its effect on Earth.

ehild
 

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