What is the Formula for Gravitational Force?

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In summary, the conversation discusses a problem with a formula that relates the orbital period and radius of a planet in a circular orbit. The formula is derived using knowledge of circular motion and gravitation and is used to compare the distances of two planets. The individual is having trouble with the values not equaling the same amount on each side when substituted into the equation.
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Sirsh
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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.
 
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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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1. What is the formula for calculating gravitational force?

The formula for calculating gravitational force is F = G * (m1 * m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the objects.

2. How does the distance between two objects affect the strength of their gravitational force?

The strength of the gravitational force between two objects is inversely proportional to the distance between them. This means that as the distance increases, the force of gravity decreases.

3. What is the value of the gravitational constant (G)?

The gravitational constant, denoted by G, is a fundamental physical constant with a value of approximately 6.674 x 10^-11 m^3 kg^-1 s^-2. It is used in the formula for calculating gravitational force.

4. Can the gravitational force between two objects be negative?

No, the gravitational force between two objects is always a positive value. It is an attractive force, meaning that it always pulls objects towards each other.

5. How does the mass of an object affect the strength of its gravitational force?

The strength of an object's gravitational force is directly proportional to its mass. This means that as the mass of an object increases, the force of gravity also increases.

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