Deriving the formula for tidal generating force TGF

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Homework Help Overview

The discussion revolves around deriving the formula for tidal generating force (TGF) acting on a mass on the surface of the Moon, specifically focusing on the relationship between gravitational forces and the distances involved in the Earth-Moon system.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive the TGF from Newton's law of gravitation and expresses uncertainty about how to handle mass elements in the derivation.

Discussion Status

Participants are engaging in a dialogue about the derivation process, with some questioning assumptions regarding the densities of the Earth and Moon. Guidance has been offered to start the derivation and share the work for further discussion.

Contextual Notes

There is a suggestion that the densities of the Earth and Moon may need to be assumed equal for the derivation, despite them not being the same in reality. Additionally, a reminder to follow forum guidelines has been noted.

HenryM
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i have been asked to show that the TGF acting on a 1kg mass, on the surface of the Moon is equal to:

TGF = 2g.e^2.(a/r^3)

Where;
g = 9.81
e = radius of the Earth
a = radius of the Moon
r = distance between the centres of the Earth and Moon.
 
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Hello Henry, :welcome:

Have you, now ? And what are you going to do to show it ?
Please rea the PF guidelines to understand why we can't help you (yet)
 
well, i need to derive it from Newtons law for gravitiation.. i think. i can do it conserving the mass elements, but I am not sure how to remove them.

Thanks
 
I suppose you are supposed to assume the densities of Earth and moon are the same (they are not) .
Start your derivation and post your work.
BvU said:
Please read the PF guidelines
 
This seems to be homework. PLEASE use the homework template and post in the homework forum. Thanks.

Since this already has dialog, we will let it go, template-wise. Moving to homework...
 
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