How does distance affect the gravitational force?

The gravitational force decreases as distance increases.
The gravitational force increases as distance increases.
The gravitational force is not changed by distance.
The gravitational force changes unpredictably with distance.

Respuesta :

Distance affects the gravitational force as in option 1: The gravitational force decreases as distance increases.  

The equation of Newton's law of gravitational force (F) is:

[tex] F = G\frac{mM}{r^{2}} [/tex]

Where:

G: is the gravitational constant = 6.67x10⁻¹¹ N*m²/kg²

m: is the mass of the first object

M: is the mass of the second object

r: is the distance between the center of the masses of the objects

We can see from the above equation that the gravitational force is inversely proportional to the distance between the objects. Thus, the greater the distance, the smaller the gravitational force, and vice-versa, the smaller the distance, the greater the gravitational force.  

Therefore, the correct option is the first: the gravitational force decreases as distance increases.

Learn more about gravitational force here:

  • https://brainly.com/question/12753155?referrer=searchResults
  • https://brainly.com/question/807785?referrer=searchResults  

I hope it helps you!        

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