Question

Gravity is the force that objects exert on each other because of their masses. The strength of the gravitational force between two objects depends on two factors, mass and distance. How is gravity related to mass and distance? Choose ALL the statements that apply.
If one of the masses is doubled, the force of gravity between the objects is doubled.

As distance between the objects increases, the force of gravity decreases.

As distance between the objects increases, the force of gravity increases.

The more mass two objects have, the less the force of gravity the masses exert on each other

Greater mass results in greater force.

Answer 1

If one of the masses is doubled, the force of gravity between the objects is doubled.

As distance between the objects increases, the force of gravity decreases.

Greater mass results in greater force

Explanation:

Gravity is related to mass and distance as proposed by the newton's law of universal gravitation.

The law states that "the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional the the square of the distances between them.  ".

Mathematically we have:

            F ∝  m₁ m₂

          F ∝   $\frac{1}{r^{2} }$

m is the mass of the body

r is the distance between them.

We can simply understand that the greater the mass, the greater the force.

Also the higher the distance between the objects, the lesser the force of gravity between them.

Now, ;

                   F = $\frac{G m_{1} m_{2} }{r^{2} }$

 if the mass is double the force becomes doubled too.

   if m₁  = 2m₁

  F₁ = $\frac{G m_{1} m_{2} }{r^{2} }$

  F₂ = $\frac{G 2m_{1} m_{2} }{r^{2} }$

 equation F₁ and F₂, we can see that F₂ is twice F₁

learn more:

Universal gravitation brainly.com/question/1724648

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