What is the force of gravity at different distances from the center of Earth?

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Homework Help Overview

The problem involves calculating the force of gravity experienced by a person at various distances from the center of the Earth, starting from a known force of 750N at the Earth's surface. The context is centered around gravitational force and its dependence on distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of different equations to find gravitational force, including F=mg and F=G*mass1*mass2/distance^2. There is a debate about the necessity of the gravitational constant and the mass of the Earth in the calculations.

Discussion Status

The discussion is ongoing, with participants exploring the relationship between gravitational force and distance. Some guidance has been provided regarding the equations to use, but there is no explicit consensus on the best approach or the necessity of certain variables.

Contextual Notes

There is a noted lack of information regarding the mass of the Earth, which some participants suggest is necessary for certain calculations. Additionally, the original poster's initial attempt at a solution is questioned by others.

soulja101
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Homework Statement


The force of gravity experienced by a person on Earth is 750N. What is the force of gravity on the same person aat each of the following distances, in multiples of the Earth's radius from the centre of earth?


Homework Equations



FG=mg

The Attempt at a Solution


The answers are A)3 B)10 C)22
750N/9.8N/kg
=76.53
 
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If you want to find the force of gravity at different distances use the equation-
F=G* mass1*mass2/distance^2

G=gravitational constant or 6.67*10^-11
masses in kilograms
distance in meters
the final force in Newtons
 
hover said:
If you want to find the force of gravity at different distances use the equation-
F=G* mass1*mass2/distance^2

hover:
The universal gravitational constant is not needed to answer this question. (Besides, you didn't give the mass of the Earth.)

Soulja:
Using F=mg is not correct; hover's equation is correct.

You know the force at one Earth radius. Using [tex]F = \frac{G m_1 m_2}{r^2}[/tex], can you determine the relation between the forces if the masses remain constant but the distance is varied?
 
sorry, my bad:blushing:
 
Last edited:
Nothing to apologize about. You provided the governing equation.
 

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