Answer:
The gravitational force (F) acting between two objects is given by :
[tex]{ \boxed{\sf{F = G \dfrac{ m_1 m_2}{ r^2}}}}[/tex]
where :
1. When we Move the objects closer together, The Gravitational force will increase.
If we move the objects closer together, the distance between the objects (r) will decrease and from the above equation since the Gravitational force (F) is inversely proportional to r. Therefore, if r decreases, the Gravitational force will increase.
2. If we the Move the objects farther apart, The Gravitational force will decrease.
If we move the objects farther apart, the distance between the objects (r) will increase and from the above equation since the Gravitational force (F) is inversely proportional to r. Therefore, if r increases, the Gravitational force will decreases.
3. Removed half of each object, the gravitational force will decrease.
Removing half of each object results in decrease of the mass. From the above eqn, Gravitational force is directly proportional to the mass. Therefore, by decreasing the mass, The gravitational force will decrease.
4. Add some mass to one each object, the gravitational force will increase.
Adding some mass to one each object results in increase of the mass. From the above eqn, Gravitational force is directly proportional to the mass. Therefore, by increasing the mass, The gravitational force will increase.
Hence,
Move the objects closer together : Gravitational force increases.
Move the objects farther apart : Gravitational force decreases.
Removed half of each object : Gravitational force decreases.
Add some Mass to one of the objects : Gravitational force increases.
