Question

The gravitational force $Fg$ between two objects does not depend on

• A. Sum of the masses
• B. Product of the masses
• C. Gravitational constant
• D. Distance between the masses

Answer 1

The correct option is A

Sum of the masses

1. Gravitational force is defined as the force of attraction between two bodies that are separated by a distance from each other.
2. According to Newton's law of gravitation, this force of attraction is proportional to the product of their masses and inversely proportional to the square of the distance between them.
3. Mathematically it is represented as -
4. $$\begin{gathered} F_g\propto \frac{m_1{m}_2}{r^2} \\ {F}_g=\frac{G{m}_1{m}_2}{r^2} \end{gathered}$$where $G,m_1,m_{2,}r$ are gravitational constant, masses of bodies 1 and 2, and separation distance between them respectively.
5. From the above formula, it is clear that gravitational force depends on the product of the masses, the Gravitational constant, and the distance between the masses.
6. But it does not depend on the sum of the masses.

Hence, option A is the correct answer.