What happens to the gravitational force if the distance between two objects increases by a factor of 4?

Answer

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Hint:The gravitational force attracts all mass-bearing objects. The gravitational force is referred to as attractive because it often attempts to bring masses together rather than pushing them apart. Every object in the universe, including you, is pulling on something else.

Complete answer:

The universality of gravity is the subject of Newton's law of universal gravitation. Newton's induction into the Gravity Hall of Fame is based on his discovery that gravitation is universal, rather than his discovery of gravity. Gravitational attraction is a force that attracts all things. Gravity is a common phenomenon. This gravitational force is proportional to the square of the distance between their centres and is directly proportional to both objects' masses. The magnitude of gravitational forces, as determined by Newton, is symbolically summarised as –$F = G\dfrac{{{m_1} \times {m_2}}}{{{r^2}}}$More massive objects can attract each other with a greater gravitational force since the gravitational force is directly proportional to the mass of all interacting objects. As a result, as the mass of either object increases, so does the gravitational attraction between them.Since force is inversely proportional to the square of the separation distance between the two objects, the greater the separation distance, the weaker the gravitational forces would be. If two objects become more distant from one another, the gravitational attraction between them weakens.

Hence, according to the question, if the distance between the objects increases, the force between them decreases.

Note: The force of gravitational attraction is reduced by a factor of four when the separation distance between two objects is doubled (increased by a factor of two). The force of gravitational attraction is reduced by a factor of $9$ when the separation distance between two objects is tripled (increased by a factor of $3$).