What is the Formula for Gravitational Force?

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Homework Help Overview

The discussion revolves around the formula for gravitational force and its application in understanding the relationship between the orbital period of a planet and the radius of its orbit. Participants are exploring concepts related to gravitation and circular motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to derive an equation relating the orbital period and radius of a planet's orbit. Questions are raised about the equality of both sides of the equation when values are substituted, indicating confusion about the application of the formula.

Discussion Status

Some participants are seeking clarification on specific problems related to the gravitational force formula and its application. There is an ongoing exploration of the relationships involved, with no explicit consensus reached yet.

Contextual Notes

One participant notes the importance of comparing distances of two planets when their periods of revolution are known, suggesting a context of planetary motion that may influence the discussion.

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But when i substitute the values into the equation they don't both equal the same amount on each sides. help me please!
That has to be. What is your problem? Post a specific problem where you want to apply this relationship. Mainly this relation is used to compare the distances of two planets when their periods of revolution is known.
 
2. Using your knowledge of circular motion and gravitation, derive an equation that shows the relationship between the orbital period (T) of a planet in a circular orbit and the radius of the planetary orbit (R).

4pi^2/GM = T^2/r^3

39.478/ 3.247E+14 = 1.08E+11/ 7.474E+21

1.215E-13 = 1.445E-11

I'm thought that the formula i had rearranged would have answered this question, except shouldn't both sides of the equations equal the same value when their values are substituted into the equation?
 
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