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Answer:

As the mass of an object increases, its gravitational force increases.

As an object's distance to other objects increases, its gravitational force on those objects increases.

Explanation:

The gravitational force of one object on another is calculated with the equation

F = (G*m1*m2)/(r²),

where G is the gravitational constant,

M1 and M2 are the masses of the two objects, and

r is the distance between them

We can see that the force has a direct relationship with both of the mass values, and an inverse square relationship with the distance between them.

Hope this helped!

Acceleration due to gravity increases with increase in mass and decreases with increase in distance.

According the Newton's law of universal gravitation, every object in the universe attracts each other with force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

[tex]F = \frac{GMm}{R^2}[/tex]

Also, from Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = mg

If we solve the two equation together, we will obtain the relationship between gravity, mass and distance.

[tex]mg = \frac{GMm}{R^2} \\\\g = \frac{GM}{R^2}[/tex]

where;

  • g is acceleration due to gravity
  • R is distance of separation
  • M is mass

Thus, we can conclude that acceleration due to gravity increases with increase in mass and decreases with increase in distance.

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