Understanding formula F=GmM/r^2 confusion help

In summary, Scientists want to place a 2900.0 kg satellite in orbit around Mars at a distance of 1.6 times the planet's radius. Using the given information of Mars' mass, radius, and the universal gravitational constant, we can calculate the force of attraction between Mars and the satellite using the equation F=GmM/r^2.
  • #1
aruji73
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Homework Statement



Scientists want to place a 2900.0 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 1.6 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem:



mmars = 6.4191 x 10^23 kg
rmars = 3.397 x 10^6 m
G = 6.67428 x 10^-11 N-m2/kg2

1) What is the force of attraction between Mars and the satellite?




Homework Equations



F=GmM/r^2

The Attempt at a Solution




((6.67428e-11)*(6.491e+23)*(2900))/(1.6*3.397e+6)^2
 
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  • #2
Where is the satellite's height measured from?
 
  • #3

Related to Understanding formula F=GmM/r^2 confusion help

What is the formula for calculating gravitational force?

The formula for calculating gravitational force is F = GmM/r^2, where F is the force of gravity, G is the gravitational constant, m and M are the masses of the two objects, and r is the distance between the two objects.

What does each variable in the formula represent?

The variable F represents the force of gravity between two objects, G represents the gravitational constant, m and M represent the masses of the two objects, and r represents the distance between the two objects.

What is the significance of the gravitational constant in the formula?

The gravitational constant, G, is a fundamental constant that is used to calculate the force of gravity between two objects. It is a measure of how strong the force of gravity is between two objects with a certain mass and distance. Its value is approximately 6.67 x 10^-11 Nm^2/kg^2.

How does the distance between two objects affect the force of gravity?

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

Can the formula be used for all objects in the universe?

The formula for calculating gravitational force, F = GmM/r^2, is a universal law of gravitation that can be applied to all objects in the universe. However, it is most accurate for objects that are not moving at high speeds or have extremely large masses.

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