The correct relationship is that gravitational force is directly proportional to the product of the masses.
Newton's Law of Universal Gravitation
Isaac Newton's Law of Universal Gravitation describes the attractive force between any two objects with mass. The law states that this force is:
Directly proportional to the product of the two masses (m1 and m2).
Inversely proportional to the square of the distance (r) between their centers.
This is represented by the formula:
F=Gm₁m₂/r²
where F is the gravitational force, and G is the gravitational constant.
Analyzing the Options
(a) It is the force responsible for the attraction of every object in the universe towards each other. This is a correct description of universal gravitation.
(b) It is inversely proportional to the product of the masses of the objects. This statement is incorrect. The force is directly proportional to the product of the masses.
(c) Newton relied on Kepler's theories in his research on the force of gravity. This is correct. Newton used Kepler's Laws of Planetary Motion to formulate his own law of gravity, explaining why planets orbit the sun in the way they do.
(d) It is inversely proportional to the square of the distance between the objects. This is correct, as stated in the inverse-square law component of Newton's equation.