Question

Which of the following is a direct proportion?

(A) Force of gravity (Fg) and mass (m)
(B) Force of gravity (Fg) and distance (r)
(C) Mass (m) and distance (r)
(D) None of the above

Answer 1

The gravitational force between two objects is directly proportional to the product of their masses, making the correct answer (A) Force of gravity (Fg) and mass (m).

Step-by-step explanation:

Among the options provided, which is a direct proportion: Force of gravity (Fg) and mass (m) is a direct proportion. According to Newton's universal law of gravitation, the gravitational force (F) between two objects is directly proportional to the product of their masses (m and M) and inversely proportional to the square of the distance (r) between them. Mathematically, this relationship is represented by the equation F = GmM/r², where G is the gravitational constant with a value of 6.673 × 10⁻¹¹ N·m²/kg². Therefore, as mass increases, the gravitational force also increases, indicating a direct proportionality. The correct answer is (A).