Question

how does the gravitation force of attraction between two objects having fixed mass vary if the distance between them is tripled?

Answer 1

So as the mass of either object increases, the force of gravitational attraction between them also increases. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

Answer 2

Concept: Newton's universal law of gravitation states that the attraction between any two bodies is proportional to the product of their masses and inversely proportional to the square of their distance.

Given: Distance between the objects is tripled.

To find: The variation in the gravitation force of attraction between two objects having fixed mass

Solution: 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). (3 raised to the second power).

Gravity is extended beyond the earth via Newton's universal gravitational law. 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 finding that gravitation is universal, rather than his discovery of gravity. Gravitational attraction is a force that attracts all objects. Gravity is a ubiquitous phenomenon. This gravitational attraction is proportional to the square of the distance between their centres and is directly proportional to the masses of both objects. The magnitude of gravitational forces is symbolically expressed by Newton's conclusion.

$F_{grav}$ ∝ $\frac{m_{1}+ m_{2} }{d^{2} }$

where, $F_{grav}$ = force of gravity between two objects

            $m_{1}$ = mass of first object

            $m_{2}$ = mass of second object

            $d$ = distance separating the centres of the object

More massive objects will attract each other with a stronger gravitational force because the gravitational force is directly proportional to the mass of both interacting objects. If a result, as the mass of either object rises, so does the gravitational attraction between them. If one of the objects' mass is doubled, the gravitational force between them is also doubled. If one of the objects' mass is tripled, the gravitational force between them is also tripled. If both objects' masses are doubled, the gravitational force between them is quadrupled, and so on.

Because gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, the greater the separation distance, the smaller the gravitational forces will be. As two things become farther apart from one another, the gravitational attraction between them weakens. 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) (2 raised to the second power). 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). (3 raised to the second power).

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