Physics gravitational questioon

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Homework Help Overview

The discussion revolves around determining the point where the gravitational force from the Earth is twice that from the Moon. The problem involves gravitational forces and the relevant parameters of the Earth and Moon.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the gravitational forces exerted by the Earth and Moon at specific distances, questioning how to express these forces based on given masses and distances. There are inquiries about the definitions of distances from the centers of both celestial bodies.

Discussion Status

Some participants have provided insights into using Newton's law of universal gravitation to set up the problem, suggesting a method to equate the forces. However, there is no explicit consensus on the approach or resolution yet.

Contextual Notes

Participants note that only the masses of the Earth and Moon, as well as their radii, are provided, which may limit the analysis. The distance between the centers of the Earth and Moon is also specified, which is crucial for the calculations.

crystal5428
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I need a help.

Find the point where the gravitational force from the Earth is 2 times of that from moon.
 
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crystal5428 said:
I need a help.

Find the point where the gravitational force from the Earth is 2 times of that from moon.
What is the force of gravity at a point Re from the centre of the earth? What is the force of gravity at a point Rm from the centre of the moon? What is Rm at a point on a line between the centres of the Earth and moon that is Re from the centre of the earth?

AM
 
only the mass of earth, mass of moon and radius of moon and Earth is given.
mass of earth=5.98*10(to the power of 24)
mass of moon=7.35*10(to the power of 22)
radius of Earth and moon=3.84*10(to the power of 8)
 
crystal5428 said:
only the mass of earth, mass of moon and radius of moon and Earth is given.
mass of earth=5.98*10(to the power of 24)
mass of moon=7.35*10(to the power of 22)
radius of Earth and moon=3.84*10(to the power of 8)
The distance between the centres of the Earth and moon is 3.84 x 10^8 m or 3.84 x 10^5 km.

Just use Newton's law of universal gravitation to express the force of gravity from the Earth at a distance R from the centre of the Earth (R>radius of the earth). Same for the moon. Then set the force of gravity of the Earth equal to twice the force of gravity of the moon.

AM
 

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